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Finding the Fourth Proportional to 78,171.18, 107,876.31 and 42,360.87

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Solution

The fourth proportional to 78,171.18, 107,876.31 and 42,360.87 is: 58,458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,171.18 : 107,876.31 = 42,360.87 : x
  2. Step 2: Convert to fraction form
    78,171.18/107,876.31 = 42,360.87/x
  3. Step 3: Cross multiply
    78,171.18x = 107,876.31 × 42,360.87
  4. Step 4: Simplify right side
    78,171.18x = 4,569,734,343.99
  5. Step 5: Solve for x
    x = 4,569,734,343.99/78,171.18
  6. Step 6: Final answer
    x = 58,458.04

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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.