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Finding the Fourth Proportional to 71.78, 98.89 and 60.06

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Solution

The fourth proportional to 71.78, 98.89 and 60.06 is: 82.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.78 : 98.89 = 60.06 : x
  2. Step 2: Convert to fraction form
    71.78/98.89 = 60.06/x
  3. Step 3: Cross multiply
    71.78x = 98.89 × 60.06
  4. Step 4: Simplify right side
    71.78x = 5,939.33
  5. Step 5: Solve for x
    x = 5,939.33/71.78
  6. Step 6: Final answer
    x = 82.74

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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.