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Finding the Fourth Proportional to 137,354.43, 206,101.97 and 65,388.79

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Solution

The fourth proportional to 137,354.43, 206,101.97 and 65,388.79 is: 98,116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,354.43 : 206,101.97 = 65,388.79 : x
  2. Step 2: Convert to fraction form
    137,354.43/206,101.97 = 65,388.79/x
  3. Step 3: Cross multiply
    137,354.43x = 206,101.97 × 65,388.79
  4. Step 4: Simplify right side
    137,354.43x = 13,476,758,434.92
  5. Step 5: Solve for x
    x = 13,476,758,434.92/137,354.43
  6. Step 6: Final answer
    x = 98,116.66

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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.