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Finding the Fourth Proportional to 128,414.31, 177,202.13 and 71,814.75

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Solution

The fourth proportional to 128,414.31, 177,202.13 and 71,814.75 is: 99,098.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,414.31 : 177,202.13 = 71,814.75 : x
  2. Step 2: Convert to fraction form
    128,414.31/177,202.13 = 71,814.75/x
  3. Step 3: Cross multiply
    128,414.31x = 177,202.13 × 71,814.75
  4. Step 4: Simplify right side
    128,414.31x = 12,725,726,306.34
  5. Step 5: Solve for x
    x = 12,725,726,306.34/128,414.31
  6. Step 6: Final answer
    x = 99,098.97

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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.