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Finding the Fourth Proportional to 138,077.10, 206,946.12 and 71,479.29

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Solution

The fourth proportional to 138,077.10, 206,946.12 and 71,479.29 is: 107,131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,077.10 : 206,946.12 = 71,479.29 : x
  2. Step 2: Convert to fraction form
    138,077.10/206,946.12 = 71,479.29/x
  3. Step 3: Cross multiply
    138,077.10x = 206,946.12 × 71,479.29
  4. Step 4: Simplify right side
    138,077.10x = 14,792,361,725.85
  5. Step 5: Solve for x
    x = 14,792,361,725.85/138,077.10
  6. Step 6: Final answer
    x = 107,131.17

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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.