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Finding the Fourth Proportional to 128,471.27, 192,708.11 and 57,397.48

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Solution

The fourth proportional to 128,471.27, 192,708.11 and 57,397.48 is: 86,096.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,471.27 : 192,708.11 = 57,397.48 : x
  2. Step 2: Convert to fraction form
    128,471.27/192,708.11 = 57,397.48/x
  3. Step 3: Cross multiply
    128,471.27x = 192,708.11 × 57,397.48
  4. Step 4: Simplify right side
    128,471.27x = 11,060,959,551.29
  5. Step 5: Solve for x
    x = 11,060,959,551.29/128,471.27
  6. Step 6: Final answer
    x = 86,096.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.