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Finding the Fourth Proportional to 145,291.76, 200,507.76 and 81,628.28

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Solution

The fourth proportional to 145,291.76, 200,507.76 and 81,628.28 is: 112,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,291.76 : 200,507.76 = 81,628.28 : x
  2. Step 2: Convert to fraction form
    145,291.76/200,507.76 = 81,628.28/x
  3. Step 3: Cross multiply
    145,291.76x = 200,507.76 × 81,628.28
  4. Step 4: Simplify right side
    145,291.76x = 16,367,103,575.45
  5. Step 5: Solve for x
    x = 16,367,103,575.45/145,291.76
  6. Step 6: Final answer
    x = 112,649.91

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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.