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Finding the Fourth Proportional to 125.46, 188.02 and 74.11

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Solution

The fourth proportional to 125.46, 188.02 and 74.11 is: 111.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.46 : 188.02 = 74.11 : x
  2. Step 2: Convert to fraction form
    125.46/188.02 = 74.11/x
  3. Step 3: Cross multiply
    125.46x = 188.02 × 74.11
  4. Step 4: Simplify right side
    125.46x = 13,934.16
  5. Step 5: Solve for x
    x = 13,934.16/125.46
  6. Step 6: Final answer
    x = 111.06

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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.