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Finding the Fourth Proportional to 83,960.88, 125,937.12 and 20,780.64

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Solution

The fourth proportional to 83,960.88, 125,937.12 and 20,780.64 is: 31,169.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,960.88 : 125,937.12 = 20,780.64 : x
  2. Step 2: Convert to fraction form
    83,960.88/125,937.12 = 20,780.64/x
  3. Step 3: Cross multiply
    83,960.88x = 125,937.12 × 20,780.64
  4. Step 4: Simplify right side
    83,960.88x = 2,617,053,953.36
  5. Step 5: Solve for x
    x = 2,617,053,953.36/83,960.88
  6. Step 6: Final answer
    x = 31,169.92

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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.