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Finding the Fourth Proportional to 124.61, 187.08 and 97.28

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Solution

The fourth proportional to 124.61, 187.08 and 97.28 is: 146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.61 : 187.08 = 97.28 : x
  2. Step 2: Convert to fraction form
    124.61/187.08 = 97.28/x
  3. Step 3: Cross multiply
    124.61x = 187.08 × 97.28
  4. Step 4: Simplify right side
    124.61x = 18,197.72
  5. Step 5: Solve for x
    x = 18,197.72/124.61
  6. Step 6: Final answer
    x = 146.04

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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.