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Finding the Fourth Proportional to 129.24, 193.72 and 57.04

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Solution

The fourth proportional to 129.24, 193.72 and 57.04 is: 85.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.24 : 193.72 = 57.04 : x
  2. Step 2: Convert to fraction form
    129.24/193.72 = 57.04/x
  3. Step 3: Cross multiply
    129.24x = 193.72 × 57.04
  4. Step 4: Simplify right side
    129.24x = 11,049.79
  5. Step 5: Solve for x
    x = 11,049.79/129.24
  6. Step 6: Final answer
    x = 85.50

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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.