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Finding the Fourth Proportional to 78.52, 117.17 and 75.58

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Solution

The fourth proportional to 78.52, 117.17 and 75.58 is: 112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.52 : 117.17 = 75.58 : x
  2. Step 2: Convert to fraction form
    78.52/117.17 = 75.58/x
  3. Step 3: Cross multiply
    78.52x = 117.17 × 75.58
  4. Step 4: Simplify right side
    78.52x = 8,855.71
  5. Step 5: Solve for x
    x = 8,855.71/78.52
  6. Step 6: Final answer
    x = 112.78

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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.