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Finding the Fourth Proportional to 61.34, 84.15 and 59.74

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Solution

The fourth proportional to 61.34, 84.15 and 59.74 is: 81.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.34 : 84.15 = 59.74 : x
  2. Step 2: Convert to fraction form
    61.34/84.15 = 59.74/x
  3. Step 3: Cross multiply
    61.34x = 84.15 × 59.74
  4. Step 4: Simplify right side
    61.34x = 5,026.91
  5. Step 5: Solve for x
    x = 5,026.91/61.34
  6. Step 6: Final answer
    x = 81.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.