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Finding the Fourth Proportional to 124.89, 187.40 and 89.11

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Solution

The fourth proportional to 124.89, 187.40 and 89.11 is: 133.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.89 : 187.40 = 89.11 : x
  2. Step 2: Convert to fraction form
    124.89/187.40 = 89.11/x
  3. Step 3: Cross multiply
    124.89x = 187.40 × 89.11
  4. Step 4: Simplify right side
    124.89x = 16,699.21
  5. Step 5: Solve for x
    x = 16,699.21/124.89
  6. Step 6: Final answer
    x = 133.71

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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.