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Finding the Fourth Proportional to 137,257.96, 205,922.43 and 80,379.90

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Solution

The fourth proportional to 137,257.96, 205,922.43 and 80,379.90 is: 120,590.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,257.96 : 205,922.43 = 80,379.90 : x
  2. Step 2: Convert to fraction form
    137,257.96/205,922.43 = 80,379.90/x
  3. Step 3: Cross multiply
    137,257.96x = 205,922.43 × 80,379.90
  4. Step 4: Simplify right side
    137,257.96x = 16,552,024,331.16
  5. Step 5: Solve for x
    x = 16,552,024,331.16/137,257.96
  6. Step 6: Final answer
    x = 120,590.64

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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.