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Finding the Fourth Proportional to 98.83, 136.32 and 61.96

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Solution

The fourth proportional to 98.83, 136.32 and 61.96 is: 85.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.83 : 136.32 = 61.96 : x
  2. Step 2: Convert to fraction form
    98.83/136.32 = 61.96/x
  3. Step 3: Cross multiply
    98.83x = 136.32 × 61.96
  4. Step 4: Simplify right side
    98.83x = 8,446.39
  5. Step 5: Solve for x
    x = 8,446.39/98.83
  6. Step 6: Final answer
    x = 85.46

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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.