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Finding the Fourth Proportional to 137,520.78, 206,237.97 and 53,275.11

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Solution

The fourth proportional to 137,520.78, 206,237.97 and 53,275.11 is: 79,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,520.78 : 206,237.97 = 53,275.11 : x
  2. Step 2: Convert to fraction form
    137,520.78/206,237.97 = 53,275.11/x
  3. Step 3: Cross multiply
    137,520.78x = 206,237.97 × 53,275.11
  4. Step 4: Simplify right side
    137,520.78x = 10,987,350,537.93
  5. Step 5: Solve for x
    x = 10,987,350,537.93/137,520.78
  6. Step 6: Final answer
    x = 79,895.93

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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.