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Finding the Fourth Proportional to 137,680.80, 206,472.60 and 48,937.20

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Solution

The fourth proportional to 137,680.80, 206,472.60 and 48,937.20 is: 73,388.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,680.80 : 206,472.60 = 48,937.20 : x
  2. Step 2: Convert to fraction form
    137,680.80/206,472.60 = 48,937.20/x
  3. Step 3: Cross multiply
    137,680.80x = 206,472.60 × 48,937.20
  4. Step 4: Simplify right side
    137,680.80x = 10,104,190,920.72
  5. Step 5: Solve for x
    x = 10,104,190,920.72/137,680.80
  6. Step 6: Final answer
    x = 73,388.53

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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.