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Finding the Fourth Proportional to 114.30, 171.45 and 78.24

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Solution

The fourth proportional to 114.30, 171.45 and 78.24 is: 117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.30 : 171.45 = 78.24 : x
  2. Step 2: Convert to fraction form
    114.30/171.45 = 78.24/x
  3. Step 3: Cross multiply
    114.30x = 171.45 × 78.24
  4. Step 4: Simplify right side
    114.30x = 13,414.25
  5. Step 5: Solve for x
    x = 13,414.25/114.30
  6. Step 6: Final answer
    x = 117.36

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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.