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Finding the Fourth Proportional to 98.42, 135.78 and 61.57

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Solution

The fourth proportional to 98.42, 135.78 and 61.57 is: 84.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.42 : 135.78 = 61.57 : x
  2. Step 2: Convert to fraction form
    98.42/135.78 = 61.57/x
  3. Step 3: Cross multiply
    98.42x = 135.78 × 61.57
  4. Step 4: Simplify right side
    98.42x = 8,359.30
  5. Step 5: Solve for x
    x = 8,359.30/98.42
  6. Step 6: Final answer
    x = 84.93

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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.