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Finding the Fourth Proportional to 137,575.30, 206,381.31 and 54,449.86

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Solution

The fourth proportional to 137,575.30, 206,381.31 and 54,449.86 is: 81,682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,575.30 : 206,381.31 = 54,449.86 : x
  2. Step 2: Convert to fraction form
    137,575.30/206,381.31 = 54,449.86/x
  3. Step 3: Cross multiply
    137,575.30x = 206,381.31 × 54,449.86
  4. Step 4: Simplify right side
    137,575.30x = 11,237,433,436.12
  5. Step 5: Solve for x
    x = 11,237,433,436.12/137,575.30
  6. Step 6: Final answer
    x = 81,682.06

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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.