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Finding the Fourth Proportional to 137,394.72, 206,085.24 and 80,500.80

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Solution

The fourth proportional to 137,394.72, 206,085.24 and 80,500.80 is: 120,747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,394.72 : 206,085.24 = 80,500.80 : x
  2. Step 2: Convert to fraction form
    137,394.72/206,085.24 = 80,500.80/x
  3. Step 3: Cross multiply
    137,394.72x = 206,085.24 × 80,500.80
  4. Step 4: Simplify right side
    137,394.72x = 16,590,026,688.19
  5. Step 5: Solve for x
    x = 16,590,026,688.19/137,394.72
  6. Step 6: Final answer
    x = 120,747.19

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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.