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Finding the Fourth Proportional to 100,878.27, 151,229.75 and 50,916.75

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Solution

The fourth proportional to 100,878.27, 151,229.75 and 50,916.75 is: 76,330.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,878.27 : 151,229.75 = 50,916.75 : x
  2. Step 2: Convert to fraction form
    100,878.27/151,229.75 = 50,916.75/x
  3. Step 3: Cross multiply
    100,878.27x = 151,229.75 × 50,916.75
  4. Step 4: Simplify right side
    100,878.27x = 7,700,127,118.73
  5. Step 5: Solve for x
    x = 7,700,127,118.73/100,878.27
  6. Step 6: Final answer
    x = 76,330.88

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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.