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Finding the Fourth Proportional to 137,242.75, 205,721.40 and 53,060.73

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Solution

The fourth proportional to 137,242.75, 205,721.40 and 53,060.73 is: 79,535.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,242.75 : 205,721.40 = 53,060.73 : x
  2. Step 2: Convert to fraction form
    137,242.75/205,721.40 = 53,060.73/x
  3. Step 3: Cross multiply
    137,242.75x = 205,721.40 × 53,060.73
  4. Step 4: Simplify right side
    137,242.75x = 10,915,727,660.62
  5. Step 5: Solve for x
    x = 10,915,727,660.62/137,242.75
  6. Step 6: Final answer
    x = 79,535.91

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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.