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Finding the Fourth Proportional to 83,379, 115,074 and 47,560.80

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Solution

The fourth proportional to 83,379, 115,074 and 47,560.80 is: 65,640.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,379 : 115,074 = 47,560.80 : x
  2. Step 2: Convert to fraction form
    83,379/115,074 = 47,560.80/x
  3. Step 3: Cross multiply
    83,379x = 115,074 × 47,560.80
  4. Step 4: Simplify right side
    83,379x = 5,473,011,499.20
  5. Step 5: Solve for x
    x = 5,473,011,499.20/83,379
  6. Step 6: Final answer
    x = 65,640.17

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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.