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Finding the Fourth Proportional to 94.52, 141.44 and 78.20

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Solution

The fourth proportional to 94.52, 141.44 and 78.20 is: 117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.52 : 141.44 = 78.20 : x
  2. Step 2: Convert to fraction form
    94.52/141.44 = 78.20/x
  3. Step 3: Cross multiply
    94.52x = 141.44 × 78.20
  4. Step 4: Simplify right side
    94.52x = 11,060.61
  5. Step 5: Solve for x
    x = 11,060.61/94.52
  6. Step 6: Final answer
    x = 117.02

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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.