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Finding the Fourth Proportional to 261,064.48, 391,654.12 and 83,589.43

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Solution

The fourth proportional to 261,064.48, 391,654.12 and 83,589.43 is: 125,402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,064.48 : 391,654.12 = 83,589.43 : x
  2. Step 2: Convert to fraction form
    261,064.48/391,654.12 = 83,589.43/x
  3. Step 3: Cross multiply
    261,064.48x = 391,654.12 × 83,589.43
  4. Step 4: Simplify right side
    261,064.48x = 32,738,142,689.68
  5. Step 5: Solve for x
    x = 32,738,142,689.68/261,064.48
  6. Step 6: Final answer
    x = 125,402.52

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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.