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Finding the Fourth Proportional to 98.62, 135.76 and 76.74

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Solution

The fourth proportional to 98.62, 135.76 and 76.74 is: 105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.62 : 135.76 = 76.74 : x
  2. Step 2: Convert to fraction form
    98.62/135.76 = 76.74/x
  3. Step 3: Cross multiply
    98.62x = 135.76 × 76.74
  4. Step 4: Simplify right side
    98.62x = 10,418.22
  5. Step 5: Solve for x
    x = 10,418.22/98.62
  6. Step 6: Final answer
    x = 105.64

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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.