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Finding the Fourth Proportional to 125.04, 187.20 and 112.80

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Solution

The fourth proportional to 125.04, 187.20 and 112.80 is: 168.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.04 : 187.20 = 112.80 : x
  2. Step 2: Convert to fraction form
    125.04/187.20 = 112.80/x
  3. Step 3: Cross multiply
    125.04x = 187.20 × 112.80
  4. Step 4: Simplify right side
    125.04x = 21,116.16
  5. Step 5: Solve for x
    x = 21,116.16/125.04
  6. Step 6: Final answer
    x = 168.88

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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.