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Finding the Fourth Proportional to 137,721.96, 206,650.98 and 81,559.80

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Solution

The fourth proportional to 137,721.96, 206,650.98 and 81,559.80 is: 122,379.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,721.96 : 206,650.98 = 81,559.80 : x
  2. Step 2: Convert to fraction form
    137,721.96/206,650.98 = 81,559.80/x
  3. Step 3: Cross multiply
    137,721.96x = 206,650.98 × 81,559.80
  4. Step 4: Simplify right side
    137,721.96x = 16,854,412,598.60
  5. Step 5: Solve for x
    x = 16,854,412,598.60/137,721.96
  6. Step 6: Final answer
    x = 122,379.99

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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.