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Finding the Fourth Proportional to 66,713.57, 100,082.48 and 31,652.90

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Solution

The fourth proportional to 66,713.57, 100,082.48 and 31,652.90 is: 47,485.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,713.57 : 100,082.48 = 31,652.90 : x
  2. Step 2: Convert to fraction form
    66,713.57/100,082.48 = 31,652.90/x
  3. Step 3: Cross multiply
    66,713.57x = 100,082.48 × 31,652.90
  4. Step 4: Simplify right side
    66,713.57x = 3,167,900,731.19
  5. Step 5: Solve for x
    x = 3,167,900,731.19/66,713.57
  6. Step 6: Final answer
    x = 47,485.10

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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.