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Finding the Fourth Proportional to 30,951.66, 42,731.92 and 29,180.46

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Solution

The fourth proportional to 30,951.66, 42,731.92 and 29,180.46 is: 40,286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,951.66 : 42,731.92 = 29,180.46 : x
  2. Step 2: Convert to fraction form
    30,951.66/42,731.92 = 29,180.46/x
  3. Step 3: Cross multiply
    30,951.66x = 42,731.92 × 29,180.46
  4. Step 4: Simplify right side
    30,951.66x = 1,246,937,082.28
  5. Step 5: Solve for x
    x = 1,246,937,082.28/30,951.66
  6. Step 6: Final answer
    x = 40,286.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.