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Finding the Fourth Proportional to 137,569.80, 206,234.70 and 53,387.40

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Solution

The fourth proportional to 137,569.80, 206,234.70 and 53,387.40 is: 80,034.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,569.80 : 206,234.70 = 53,387.40 : x
  2. Step 2: Convert to fraction form
    137,569.80/206,234.70 = 53,387.40/x
  3. Step 3: Cross multiply
    137,569.80x = 206,234.70 × 53,387.40
  4. Step 4: Simplify right side
    137,569.80x = 11,010,334,422.78
  5. Step 5: Solve for x
    x = 11,010,334,422.78/137,569.80
  6. Step 6: Final answer
    x = 80,034.53

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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.