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Finding the Fourth Proportional to 77,019.50, 106,286.92 and 41,691.50

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Solution

The fourth proportional to 77,019.50, 106,286.92 and 41,691.50 is: 57,534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,019.50 : 106,286.92 = 41,691.50 : x
  2. Step 2: Convert to fraction form
    77,019.50/106,286.92 = 41,691.50/x
  3. Step 3: Cross multiply
    77,019.50x = 106,286.92 × 41,691.50
  4. Step 4: Simplify right side
    77,019.50x = 4,431,261,125.18
  5. Step 5: Solve for x
    x = 4,431,261,125.18/77,019.50
  6. Step 6: Final answer
    x = 57,534.28

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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.