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Finding the Fourth Proportional to 74, 101.96 and 61.69

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Solution

The fourth proportional to 74, 101.96 and 61.69 is: 84.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    74 : 101.96 = 61.69 : x
  2. Step 2: Convert to fraction form
    74/101.96 = 61.69/x
  3. Step 3: Cross multiply
    74x = 101.96 × 61.69
  4. Step 4: Simplify right side
    74x = 6,289.09
  5. Step 5: Solve for x
    x = 6,289.09/74
  6. Step 6: Final answer
    x = 84.99

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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.