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Finding the Fourth Proportional to 94.86, 141.66 and 89.01

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Solution

The fourth proportional to 94.86, 141.66 and 89.01 is: 132.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.86 : 141.66 = 89.01 : x
  2. Step 2: Convert to fraction form
    94.86/141.66 = 89.01/x
  3. Step 3: Cross multiply
    94.86x = 141.66 × 89.01
  4. Step 4: Simplify right side
    94.86x = 12,609.16
  5. Step 5: Solve for x
    x = 12,609.16/94.86
  6. Step 6: Final answer
    x = 132.92

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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.