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Finding the Fourth Proportional to 89.72, 123.78 and 52.89

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Solution

The fourth proportional to 89.72, 123.78 and 52.89 is: 72.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.72 : 123.78 = 52.89 : x
  2. Step 2: Convert to fraction form
    89.72/123.78 = 52.89/x
  3. Step 3: Cross multiply
    89.72x = 123.78 × 52.89
  4. Step 4: Simplify right side
    89.72x = 6,546.72
  5. Step 5: Solve for x
    x = 6,546.72/89.72
  6. Step 6: Final answer
    x = 72.97

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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.