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Finding the Fourth Proportional to 139,517.80, 209,070.86 and 82,532.78

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Solution

The fourth proportional to 139,517.80, 209,070.86 and 82,532.78 is: 123,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,517.80 : 209,070.86 = 82,532.78 : x
  2. Step 2: Convert to fraction form
    139,517.80/209,070.86 = 82,532.78/x
  3. Step 3: Cross multiply
    139,517.80x = 209,070.86 × 82,532.78
  4. Step 4: Simplify right side
    139,517.80x = 17,255,199,292.79
  5. Step 5: Solve for x
    x = 17,255,199,292.79/139,517.80
  6. Step 6: Final answer
    x = 123,677.40

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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.