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Finding the Fourth Proportional to 260,785.74, 391,159.17 and 83,311.50

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Solution

The fourth proportional to 260,785.74, 391,159.17 and 83,311.50 is: 124,961.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,785.74 : 391,159.17 = 83,311.50 : x
  2. Step 2: Convert to fraction form
    260,785.74/391,159.17 = 83,311.50/x
  3. Step 3: Cross multiply
    260,785.74x = 391,159.17 × 83,311.50
  4. Step 4: Simplify right side
    260,785.74x = 32,588,057,191.46
  5. Step 5: Solve for x
    x = 32,588,057,191.46/260,785.74
  6. Step 6: Final answer
    x = 124,961.04

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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.