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Finding the Fourth Proportional to 145,820.76, 201,228.84 and 82,154.76

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Solution

The fourth proportional to 145,820.76, 201,228.84 and 82,154.76 is: 113,371.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,820.76 : 201,228.84 = 82,154.76 : x
  2. Step 2: Convert to fraction form
    145,820.76/201,228.84 = 82,154.76/x
  3. Step 3: Cross multiply
    145,820.76x = 201,228.84 × 82,154.76
  4. Step 4: Simplify right side
    145,820.76x = 16,531,907,055.28
  5. Step 5: Solve for x
    x = 16,531,907,055.28/145,820.76
  6. Step 6: Final answer
    x = 113,371.42

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.