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Finding the Fourth Proportional to 66,391.20, 99,586.80 and 31,399.20

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Solution

The fourth proportional to 66,391.20, 99,586.80 and 31,399.20 is: 47,098.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,391.20 : 99,586.80 = 31,399.20 : x
  2. Step 2: Convert to fraction form
    66,391.20/99,586.80 = 31,399.20/x
  3. Step 3: Cross multiply
    66,391.20x = 99,586.80 × 31,399.20
  4. Step 4: Simplify right side
    66,391.20x = 3,126,945,850.56
  5. Step 5: Solve for x
    x = 3,126,945,850.56/66,391.20
  6. Step 6: Final answer
    x = 47,098.80

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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.