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Finding the Fourth Proportional to 129,061.28, 193,642 and 50,230.88

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Solution

The fourth proportional to 129,061.28, 193,642 and 50,230.88 is: 75,365.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,061.28 : 193,642 = 50,230.88 : x
  2. Step 2: Convert to fraction form
    129,061.28/193,642 = 50,230.88/x
  3. Step 3: Cross multiply
    129,061.28x = 193,642 × 50,230.88
  4. Step 4: Simplify right side
    129,061.28x = 9,726,808,064.96
  5. Step 5: Solve for x
    x = 9,726,808,064.96/129,061.28
  6. Step 6: Final answer
    x = 75,365.81

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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.