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Finding the Fourth Proportional to 105,468.66, 158,265.36 and 38,955.78

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Solution

The fourth proportional to 105,468.66, 158,265.36 and 38,955.78 is: 58,456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,468.66 : 158,265.36 = 38,955.78 : x
  2. Step 2: Convert to fraction form
    105,468.66/158,265.36 = 38,955.78/x
  3. Step 3: Cross multiply
    105,468.66x = 158,265.36 × 38,955.78
  4. Step 4: Simplify right side
    105,468.66x = 6,165,350,545.78
  5. Step 5: Solve for x
    x = 6,165,350,545.78/105,468.66
  6. Step 6: Final answer
    x = 58,456.71

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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.