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Finding the Fourth Proportional to 78,229.56, 107,916.99 and 49,500.90

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Solution

The fourth proportional to 78,229.56, 107,916.99 and 49,500.90 is: 68,286.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,229.56 : 107,916.99 = 49,500.90 : x
  2. Step 2: Convert to fraction form
    78,229.56/107,916.99 = 49,500.90/x
  3. Step 3: Cross multiply
    78,229.56x = 107,916.99 × 49,500.90
  4. Step 4: Simplify right side
    78,229.56x = 5,341,988,130.29
  5. Step 5: Solve for x
    x = 5,341,988,130.29/78,229.56
  6. Step 6: Final answer
    x = 68,286.06

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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.