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Finding the Fourth Proportional to 138,195.39, 206,960.90 and 78,851.15

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Solution

The fourth proportional to 138,195.39, 206,960.90 and 78,851.15 is: 118,087.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,195.39 : 206,960.90 = 78,851.15 : x
  2. Step 2: Convert to fraction form
    138,195.39/206,960.90 = 78,851.15/x
  3. Step 3: Cross multiply
    138,195.39x = 206,960.90 × 78,851.15
  4. Step 4: Simplify right side
    138,195.39x = 16,319,104,970.04
  5. Step 5: Solve for x
    x = 16,319,104,970.04/138,195.39
  6. Step 6: Final answer
    x = 118,087.19

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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.