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Finding the Fourth Proportional to 128,414.52, 177,209.10 and 71,831.16

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Solution

The fourth proportional to 128,414.52, 177,209.10 and 71,831.16 is: 99,125.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,414.52 : 177,209.10 = 71,831.16 : x
  2. Step 2: Convert to fraction form
    128,414.52/177,209.10 = 71,831.16/x
  3. Step 3: Cross multiply
    128,414.52x = 177,209.10 × 71,831.16
  4. Step 4: Simplify right side
    128,414.52x = 12,729,135,215.56
  5. Step 5: Solve for x
    x = 12,729,135,215.56/128,414.52
  6. Step 6: Final answer
    x = 99,125.36

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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.