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Finding the Fourth Proportional to 94.61, 141.32 and 92.18

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Solution

The fourth proportional to 94.61, 141.32 and 92.18 is: 137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.61 : 141.32 = 92.18 : x
  2. Step 2: Convert to fraction form
    94.61/141.32 = 92.18/x
  3. Step 3: Cross multiply
    94.61x = 141.32 × 92.18
  4. Step 4: Simplify right side
    94.61x = 13,026.88
  5. Step 5: Solve for x
    x = 13,026.88/94.61
  6. Step 6: Final answer
    x = 137.69

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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.