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Finding the Fourth Proportional to 69, 94.98 and 61.72

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Solution

The fourth proportional to 69, 94.98 and 61.72 is: 84.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    69 : 94.98 = 61.72 : x
  2. Step 2: Convert to fraction form
    69/94.98 = 61.72/x
  3. Step 3: Cross multiply
    69x = 94.98 × 61.72
  4. Step 4: Simplify right side
    69x = 5,862.17
  5. Step 5: Solve for x
    x = 5,862.17/69
  6. Step 6: Final answer
    x = 84.96

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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.