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Finding the Fourth Proportional to 138,194.39, 206,959.40 and 78,850.15

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Solution

The fourth proportional to 138,194.39, 206,959.40 and 78,850.15 is: 118,085.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,194.39 : 206,959.40 = 78,850.15 : x
  2. Step 2: Convert to fraction form
    138,194.39/206,959.40 = 78,850.15/x
  3. Step 3: Cross multiply
    138,194.39x = 206,959.40 × 78,850.15
  4. Step 4: Simplify right side
    138,194.39x = 16,318,779,733.91
  5. Step 5: Solve for x
    x = 16,318,779,733.91/138,194.39
  6. Step 6: Final answer
    x = 118,085.69

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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.