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Finding the Fourth Proportional to 137,756.88, 206,635.33 and 54,650.88

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Solution

The fourth proportional to 137,756.88, 206,635.33 and 54,650.88 is: 81,976.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,756.88 : 206,635.33 = 54,650.88 : x
  2. Step 2: Convert to fraction form
    137,756.88/206,635.33 = 54,650.88/x
  3. Step 3: Cross multiply
    137,756.88x = 206,635.33 × 54,650.88
  4. Step 4: Simplify right side
    137,756.88x = 11,292,802,350.34
  5. Step 5: Solve for x
    x = 11,292,802,350.34/137,756.88
  6. Step 6: Final answer
    x = 81,976.32

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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.