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Finding the Fourth Proportional to 83,898.96, 125,760.64 and 31,287.28

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Solution

The fourth proportional to 83,898.96, 125,760.64 and 31,287.28 is: 46,898.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,898.96 : 125,760.64 = 31,287.28 : x
  2. Step 2: Convert to fraction form
    83,898.96/125,760.64 = 31,287.28/x
  3. Step 3: Cross multiply
    83,898.96x = 125,760.64 × 31,287.28
  4. Step 4: Simplify right side
    83,898.96x = 3,934,708,356.66
  5. Step 5: Solve for x
    x = 3,934,708,356.66/83,898.96
  6. Step 6: Final answer
    x = 46,898.18

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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.