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Finding the Fourth Proportional to 94.62, 130.41 and 71.24

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Solution

The fourth proportional to 94.62, 130.41 and 71.24 is: 98.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.62 : 130.41 = 71.24 : x
  2. Step 2: Convert to fraction form
    94.62/130.41 = 71.24/x
  3. Step 3: Cross multiply
    94.62x = 130.41 × 71.24
  4. Step 4: Simplify right side
    94.62x = 9,289.76
  5. Step 5: Solve for x
    x = 9,289.76/94.62
  6. Step 6: Final answer
    x = 98.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.