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Finding the Fourth Proportional to 137,397.34, 206,147.90 and 53,162.55

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Solution

The fourth proportional to 137,397.34, 206,147.90 and 53,162.55 is: 79,763.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,397.34 : 206,147.90 = 53,162.55 : x
  2. Step 2: Convert to fraction form
    137,397.34/206,147.90 = 53,162.55/x
  3. Step 3: Cross multiply
    137,397.34x = 206,147.90 × 53,162.55
  4. Step 4: Simplify right side
    137,397.34x = 10,959,348,697.77
  5. Step 5: Solve for x
    x = 10,959,348,697.77/137,397.34
  6. Step 6: Final answer
    x = 79,763.91

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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.