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Finding the Fourth Proportional to 71,145.03, 106,731.22 and 31,702.04

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Solution

The fourth proportional to 71,145.03, 106,731.22 and 31,702.04 is: 47,559.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,145.03 : 106,731.22 = 31,702.04 : x
  2. Step 2: Convert to fraction form
    71,145.03/106,731.22 = 31,702.04/x
  3. Step 3: Cross multiply
    71,145.03x = 106,731.22 × 31,702.04
  4. Step 4: Simplify right side
    71,145.03x = 3,383,597,405.69
  5. Step 5: Solve for x
    x = 3,383,597,405.69/71,145.03
  6. Step 6: Final answer
    x = 47,559.15

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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.