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Finding the Fourth Proportional to 89.57, 123.60 and 50.76

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Solution

The fourth proportional to 89.57, 123.60 and 50.76 is: 70.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.57 : 123.60 = 50.76 : x
  2. Step 2: Convert to fraction form
    89.57/123.60 = 50.76/x
  3. Step 3: Cross multiply
    89.57x = 123.60 × 50.76
  4. Step 4: Simplify right side
    89.57x = 6,273.32
  5. Step 5: Solve for x
    x = 6,273.32/89.57
  6. Step 6: Final answer
    x = 70.04

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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.