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Finding the Fourth Proportional to 83,957.52, 125,281.42 and 76,505.52

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Solution

The fourth proportional to 83,957.52, 125,281.42 and 76,505.52 is: 114,161.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,957.52 : 125,281.42 = 76,505.52 : x
  2. Step 2: Convert to fraction form
    83,957.52/125,281.42 = 76,505.52/x
  3. Step 3: Cross multiply
    83,957.52x = 125,281.42 × 76,505.52
  4. Step 4: Simplify right side
    83,957.52x = 9,584,720,183.44
  5. Step 5: Solve for x
    x = 9,584,720,183.44/83,957.52
  6. Step 6: Final answer
    x = 114,161.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.