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Finding the Fourth Proportional to 100,915.92, 151,373.86 and 41,686.48

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Solution

The fourth proportional to 100,915.92, 151,373.86 and 41,686.48 is: 62,529.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,915.92 : 151,373.86 = 41,686.48 : x
  2. Step 2: Convert to fraction form
    100,915.92/151,373.86 = 41,686.48/x
  3. Step 3: Cross multiply
    100,915.92x = 151,373.86 × 41,686.48
  4. Step 4: Simplify right side
    100,915.92x = 6,310,243,387.41
  5. Step 5: Solve for x
    x = 6,310,243,387.41/100,915.92
  6. Step 6: Final answer
    x = 62,529.71

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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.