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Finding the Fourth Proportional to 83,990, 125,985 and 34,742

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Solution

The fourth proportional to 83,990, 125,985 and 34,742 is: 52,113

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,990 : 125,985 = 34,742 : x
  2. Step 2: Convert to fraction form
    83,990/125,985 = 34,742/x
  3. Step 3: Cross multiply
    83,990x = 125,985 × 34,742
  4. Step 4: Simplify right side
    83,990x = 4,376,970,870
  5. Step 5: Solve for x
    x = 4,376,970,870/83,990
  6. Step 6: Final answer
    x = 52,113

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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.