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Finding the Fourth Proportional to 89.71, 123.66 and 77.38

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Solution

The fourth proportional to 89.71, 123.66 and 77.38 is: 106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.71 : 123.66 = 77.38 : x
  2. Step 2: Convert to fraction form
    89.71/123.66 = 77.38/x
  3. Step 3: Cross multiply
    89.71x = 123.66 × 77.38
  4. Step 4: Simplify right side
    89.71x = 9,568.81
  5. Step 5: Solve for x
    x = 9,568.81/89.71
  6. Step 6: Final answer
    x = 106.66

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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.