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Finding the Fourth Proportional to 92.66, 139.48 and 78.74

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Solution

The fourth proportional to 92.66, 139.48 and 78.74 is: 118.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.66 : 139.48 = 78.74 : x
  2. Step 2: Convert to fraction form
    92.66/139.48 = 78.74/x
  3. Step 3: Cross multiply
    92.66x = 139.48 × 78.74
  4. Step 4: Simplify right side
    92.66x = 10,982.26
  5. Step 5: Solve for x
    x = 10,982.26/92.66
  6. Step 6: Final answer
    x = 118.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.