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Finding the Fourth Proportional to 78.49, 118.15 and 71.04

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Solution

The fourth proportional to 78.49, 118.15 and 71.04 is: 106.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.49 : 118.15 = 71.04 : x
  2. Step 2: Convert to fraction form
    78.49/118.15 = 71.04/x
  3. Step 3: Cross multiply
    78.49x = 118.15 × 71.04
  4. Step 4: Simplify right side
    78.49x = 8,393.38
  5. Step 5: Solve for x
    x = 8,393.38/78.49
  6. Step 6: Final answer
    x = 106.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.