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Finding the Fourth Proportional to 78.91, 118.39 and 24.07

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Solution

The fourth proportional to 78.91, 118.39 and 24.07 is: 36.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.91 : 118.39 = 24.07 : x
  2. Step 2: Convert to fraction form
    78.91/118.39 = 24.07/x
  3. Step 3: Cross multiply
    78.91x = 118.39 × 24.07
  4. Step 4: Simplify right side
    78.91x = 2,849.53
  5. Step 5: Solve for x
    x = 2,849.53/78.91
  6. Step 6: Final answer
    x = 36.11

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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.