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Finding the Fourth Proportional to 145,814.76, 201,220.56 and 82,148.76

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Solution

The fourth proportional to 145,814.76, 201,220.56 and 82,148.76 is: 113,363.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,814.76 : 201,220.56 = 82,148.76 : x
  2. Step 2: Convert to fraction form
    145,814.76/201,220.56 = 82,148.76/x
  3. Step 3: Cross multiply
    145,814.76x = 201,220.56 × 82,148.76
  4. Step 4: Simplify right side
    145,814.76x = 16,530,019,490.51
  5. Step 5: Solve for x
    x = 16,530,019,490.51/145,814.76
  6. Step 6: Final answer
    x = 113,363.14

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Double scale
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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.