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Finding the Fourth Proportional to 104.04, 142.92 and 89.28

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Solution

The fourth proportional to 104.04, 142.92 and 89.28 is: 122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.04 : 142.92 = 89.28 : x
  2. Step 2: Convert to fraction form
    104.04/142.92 = 89.28/x
  3. Step 3: Cross multiply
    104.04x = 142.92 × 89.28
  4. Step 4: Simplify right side
    104.04x = 12,759.90
  5. Step 5: Solve for x
    x = 12,759.90/104.04
  6. Step 6: Final answer
    x = 122.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.