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Finding the Fourth Proportional to 71,082.36, 106,617.32 and 28,966.86

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Solution

The fourth proportional to 71,082.36, 106,617.32 and 28,966.86 is: 43,447.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,082.36 : 106,617.32 = 28,966.86 : x
  2. Step 2: Convert to fraction form
    71,082.36/106,617.32 = 28,966.86/x
  3. Step 3: Cross multiply
    71,082.36x = 106,617.32 × 28,966.86
  4. Step 4: Simplify right side
    71,082.36x = 3,088,368,982.02
  5. Step 5: Solve for x
    x = 3,088,368,982.02/71,082.36
  6. Step 6: Final answer
    x = 43,447.76

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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.