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Finding the Fourth Proportional to 78.82, 117.49 and 74.14

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Solution

The fourth proportional to 78.82, 117.49 and 74.14 is: 110.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.82 : 117.49 = 74.14 : x
  2. Step 2: Convert to fraction form
    78.82/117.49 = 74.14/x
  3. Step 3: Cross multiply
    78.82x = 117.49 × 74.14
  4. Step 4: Simplify right side
    78.82x = 8,710.71
  5. Step 5: Solve for x
    x = 8,710.71/78.82
  6. Step 6: Final answer
    x = 110.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.