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Finding the Fourth Proportional to 89.87, 123.30 and 87.77

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Solution

The fourth proportional to 89.87, 123.30 and 87.77 is: 120.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.87 : 123.30 = 87.77 : x
  2. Step 2: Convert to fraction form
    89.87/123.30 = 87.77/x
  3. Step 3: Cross multiply
    89.87x = 123.30 × 87.77
  4. Step 4: Simplify right side
    89.87x = 10,822.35
  5. Step 5: Solve for x
    x = 10,822.35/89.87
  6. Step 6: Final answer
    x = 120.43

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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.