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Finding the Fourth Proportional to 68,531.63, 102,691.22 and 47,512.53

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Solution

The fourth proportional to 68,531.63, 102,691.22 and 47,512.53 is: 71,195.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,531.63 : 102,691.22 = 47,512.53 : x
  2. Step 2: Convert to fraction form
    68,531.63/102,691.22 = 47,512.53/x
  3. Step 3: Cross multiply
    68,531.63x = 102,691.22 × 47,512.53
  4. Step 4: Simplify right side
    68,531.63x = 4,879,119,789.77
  5. Step 5: Solve for x
    x = 4,879,119,789.77/68,531.63
  6. Step 6: Final answer
    x = 71,195.16

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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.