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Finding the Fourth Proportional to 85,366.80, 127,964.13 and 29,168.64

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Solution

The fourth proportional to 85,366.80, 127,964.13 and 29,168.64 is: 43,723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,366.80 : 127,964.13 = 29,168.64 : x
  2. Step 2: Convert to fraction form
    85,366.80/127,964.13 = 29,168.64/x
  3. Step 3: Cross multiply
    85,366.80x = 127,964.13 × 29,168.64
  4. Step 4: Simplify right side
    85,366.80x = 3,732,539,640.88
  5. Step 5: Solve for x
    x = 3,732,539,640.88/85,366.80
  6. Step 6: Final answer
    x = 43,723.55

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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.