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Finding the Fourth Proportional to 83,780.59, 125,711.88 and 39,411.82

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Solution

The fourth proportional to 83,780.59, 125,711.88 and 39,411.82 is: 59,137.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,780.59 : 125,711.88 = 39,411.82 : x
  2. Step 2: Convert to fraction form
    83,780.59/125,711.88 = 39,411.82/x
  3. Step 3: Cross multiply
    83,780.59x = 125,711.88 × 39,411.82
  4. Step 4: Simplify right side
    83,780.59x = 4,954,533,986.42
  5. Step 5: Solve for x
    x = 4,954,533,986.42/83,780.59
  6. Step 6: Final answer
    x = 59,137.01

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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.