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Finding the Fourth Proportional to 77,294.43, 115,914.32 and 36,763.17

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Solution

The fourth proportional to 77,294.43, 115,914.32 and 36,763.17 is: 55,131.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,294.43 : 115,914.32 = 36,763.17 : x
  2. Step 2: Convert to fraction form
    77,294.43/115,914.32 = 36,763.17/x
  3. Step 3: Cross multiply
    77,294.43x = 115,914.32 × 36,763.17
  4. Step 4: Simplify right side
    77,294.43x = 4,261,377,667.78
  5. Step 5: Solve for x
    x = 4,261,377,667.78/77,294.43
  6. Step 6: Final answer
    x = 55,131.76

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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.