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Finding the Fourth Proportional to 138,042.76, 206,941.74 and 81,744.52

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Solution

The fourth proportional to 138,042.76, 206,941.74 and 81,744.52 is: 122,544.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,042.76 : 206,941.74 = 81,744.52 : x
  2. Step 2: Convert to fraction form
    138,042.76/206,941.74 = 81,744.52/x
  3. Step 3: Cross multiply
    138,042.76x = 206,941.74 × 81,744.52
  4. Step 4: Simplify right side
    138,042.76x = 16,916,353,204.26
  5. Step 5: Solve for x
    x = 16,916,353,204.26/138,042.76
  6. Step 6: Final answer
    x = 122,544.30

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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.