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Finding the Fourth Proportional to 78.53, 117.68 and 54.17

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Solution

The fourth proportional to 78.53, 117.68 and 54.17 is: 81.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.53 : 117.68 = 54.17 : x
  2. Step 2: Convert to fraction form
    78.53/117.68 = 54.17/x
  3. Step 3: Cross multiply
    78.53x = 117.68 × 54.17
  4. Step 4: Simplify right side
    78.53x = 6,373.87
  5. Step 5: Solve for x
    x = 6,373.87/78.53
  6. Step 6: Final answer
    x = 81.17

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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.