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Finding the Fourth Proportional to 94.11, 129.78 and 89.34

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Solution

The fourth proportional to 94.11, 129.78 and 89.34 is: 123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.11 : 129.78 = 89.34 : x
  2. Step 2: Convert to fraction form
    94.11/129.78 = 89.34/x
  3. Step 3: Cross multiply
    94.11x = 129.78 × 89.34
  4. Step 4: Simplify right side
    94.11x = 11,594.55
  5. Step 5: Solve for x
    x = 11,594.55/94.11
  6. Step 6: Final answer
    x = 123.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.