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Finding the Fourth Proportional to 83,979, 125,985.78 and 34,731

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Solution

The fourth proportional to 83,979, 125,985.78 and 34,731 is: 52,103.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,979 : 125,985.78 = 34,731 : x
  2. Step 2: Convert to fraction form
    83,979/125,985.78 = 34,731/x
  3. Step 3: Cross multiply
    83,979x = 125,985.78 × 34,731
  4. Step 4: Simplify right side
    83,979x = 4,375,612,125.18
  5. Step 5: Solve for x
    x = 4,375,612,125.18/83,979
  6. Step 6: Final answer
    x = 52,103.65

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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.