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Finding the Fourth Proportional to 86,376, 129,355.02 and 41,892.60

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Solution

The fourth proportional to 86,376, 129,355.02 and 41,892.60 is: 62,737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,376 : 129,355.02 = 41,892.60 : x
  2. Step 2: Convert to fraction form
    86,376/129,355.02 = 41,892.60/x
  3. Step 3: Cross multiply
    86,376x = 129,355.02 × 41,892.60
  4. Step 4: Simplify right side
    86,376x = 5,419,018,110.85
  5. Step 5: Solve for x
    x = 5,419,018,110.85/86,376
  6. Step 6: Final answer
    x = 62,737.54

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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.