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Finding the Fourth Proportional to 94.64, 130.04 and 77.11

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Solution

The fourth proportional to 94.64, 130.04 and 77.11 is: 105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.64 : 130.04 = 77.11 : x
  2. Step 2: Convert to fraction form
    94.64/130.04 = 77.11/x
  3. Step 3: Cross multiply
    94.64x = 130.04 × 77.11
  4. Step 4: Simplify right side
    94.64x = 10,026.96
  5. Step 5: Solve for x
    x = 10,026.96/94.64
  6. Step 6: Final answer
    x = 105.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.