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Finding the Fourth Proportional to 92.66, 138.63 and 78.08

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Solution

The fourth proportional to 92.66, 138.63 and 78.08 is: 116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.66 : 138.63 = 78.08 : x
  2. Step 2: Convert to fraction form
    92.66/138.63 = 78.08/x
  3. Step 3: Cross multiply
    92.66x = 138.63 × 78.08
  4. Step 4: Simplify right side
    92.66x = 10,824.23
  5. Step 5: Solve for x
    x = 10,824.23/92.66
  6. Step 6: Final answer
    x = 116.82

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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.