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Finding the Fourth Proportional to 137,782, 206,686.06 and 53,548.66

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Solution

The fourth proportional to 137,782, 206,686.06 and 53,548.66 is: 80,328.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,782 : 206,686.06 = 53,548.66 : x
  2. Step 2: Convert to fraction form
    137,782/206,686.06 = 53,548.66/x
  3. Step 3: Cross multiply
    137,782x = 206,686.06 × 53,548.66
  4. Step 4: Simplify right side
    137,782x = 11,067,761,553.68
  5. Step 5: Solve for x
    x = 11,067,761,553.68/137,782
  6. Step 6: Final answer
    x = 80,328.07

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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.