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Finding the Fourth Proportional to 137,562.30, 206,223.45 and 53,379.90

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Solution

The fourth proportional to 137,562.30, 206,223.45 and 53,379.90 is: 80,023.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,562.30 : 206,223.45 = 53,379.90 : x
  2. Step 2: Convert to fraction form
    137,562.30/206,223.45 = 53,379.90/x
  3. Step 3: Cross multiply
    137,562.30x = 206,223.45 × 53,379.90
  4. Step 4: Simplify right side
    137,562.30x = 11,008,187,138.66
  5. Step 5: Solve for x
    x = 11,008,187,138.66/137,562.30
  6. Step 6: Final answer
    x = 80,023.29

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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.