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Finding the Fourth Proportional to 261,047.43, 391,620.15 and 83,506.77

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Solution

The fourth proportional to 261,047.43, 391,620.15 and 83,506.77 is: 125,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,047.43 : 391,620.15 = 83,506.77 : x
  2. Step 2: Convert to fraction form
    261,047.43/391,620.15 = 83,506.77/x
  3. Step 3: Cross multiply
    261,047.43x = 391,620.15 × 83,506.77
  4. Step 4: Simplify right side
    261,047.43x = 32,702,933,793.42
  5. Step 5: Solve for x
    x = 32,702,933,793.42/261,047.43
  6. Step 6: Final answer
    x = 125,275.83

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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.