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Finding the Fourth Proportional to 114.68, 171.38 and 78.24

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Solution

The fourth proportional to 114.68, 171.38 and 78.24 is: 116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.68 : 171.38 = 78.24 : x
  2. Step 2: Convert to fraction form
    114.68/171.38 = 78.24/x
  3. Step 3: Cross multiply
    114.68x = 171.38 × 78.24
  4. Step 4: Simplify right side
    114.68x = 13,408.77
  5. Step 5: Solve for x
    x = 13,408.77/114.68
  6. Step 6: Final answer
    x = 116.92

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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.