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Finding the Fourth Proportional to 83,780, 125,692.68 and 28,376

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Solution

The fourth proportional to 83,780, 125,692.68 and 28,376 is: 42,571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,780 : 125,692.68 = 28,376 : x
  2. Step 2: Convert to fraction form
    83,780/125,692.68 = 28,376/x
  3. Step 3: Cross multiply
    83,780x = 125,692.68 × 28,376
  4. Step 4: Simplify right side
    83,780x = 3,566,655,487.68
  5. Step 5: Solve for x
    x = 3,566,655,487.68/83,780
  6. Step 6: Final answer
    x = 42,571.68

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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.