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Finding the Fourth Proportional to 138,751.74, 191,478 and 75,089.54

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Solution

The fourth proportional to 138,751.74, 191,478 and 75,089.54 is: 103,623.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,751.74 : 191,478 = 75,089.54 : x
  2. Step 2: Convert to fraction form
    138,751.74/191,478 = 75,089.54/x
  3. Step 3: Cross multiply
    138,751.74x = 191,478 × 75,089.54
  4. Step 4: Simplify right side
    138,751.74x = 14,377,993,982.73
  5. Step 5: Solve for x
    x = 14,377,993,982.73/138,751.74
  6. Step 6: Final answer
    x = 103,623.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.