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Finding the Fourth Proportional to 85,115.24, 127,730.94 and 29,711.24

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Solution

The fourth proportional to 85,115.24, 127,730.94 and 29,711.24 is: 44,587.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,115.24 : 127,730.94 = 29,711.24 : x
  2. Step 2: Convert to fraction form
    85,115.24/127,730.94 = 29,711.24/x
  3. Step 3: Cross multiply
    85,115.24x = 127,730.94 × 29,711.24
  4. Step 4: Simplify right side
    85,115.24x = 3,795,044,613.77
  5. Step 5: Solve for x
    x = 3,795,044,613.77/85,115.24
  6. Step 6: Final answer
    x = 44,587.13

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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.