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Finding the Fourth Proportional to 89.93, 123.86 and 77.65

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Solution

The fourth proportional to 89.93, 123.86 and 77.65 is: 106.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.93 : 123.86 = 77.65 : x
  2. Step 2: Convert to fraction form
    89.93/123.86 = 77.65/x
  3. Step 3: Cross multiply
    89.93x = 123.86 × 77.65
  4. Step 4: Simplify right side
    89.93x = 9,617.61
  5. Step 5: Solve for x
    x = 9,617.61/89.93
  6. Step 6: Final answer
    x = 106.94

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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.