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Finding the Fourth Proportional to 83,778, 125,689.68 and 28,374

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Solution

The fourth proportional to 83,778, 125,689.68 and 28,374 is: 42,568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,778 : 125,689.68 = 28,374 : x
  2. Step 2: Convert to fraction form
    83,778/125,689.68 = 28,374/x
  3. Step 3: Cross multiply
    83,778x = 125,689.68 × 28,374
  4. Step 4: Simplify right side
    83,778x = 3,566,318,980.32
  5. Step 5: Solve for x
    x = 3,566,318,980.32/83,778
  6. Step 6: Final answer
    x = 42,568.68

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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.