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Finding the Fourth Proportional to 61,107.72, 91,672.46 and 31,517.56

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Solution

The fourth proportional to 61,107.72, 91,672.46 and 31,517.56 is: 47,281.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,107.72 : 91,672.46 = 31,517.56 : x
  2. Step 2: Convert to fraction form
    61,107.72/91,672.46 = 31,517.56/x
  3. Step 3: Cross multiply
    61,107.72x = 91,672.46 × 31,517.56
  4. Step 4: Simplify right side
    61,107.72x = 2,889,292,258.40
  5. Step 5: Solve for x
    x = 2,889,292,258.40/61,107.72
  6. Step 6: Final answer
    x = 47,281.95

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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.