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Finding the Fourth Proportional to 98.53, 148.46 and 81.78

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Solution

The fourth proportional to 98.53, 148.46 and 81.78 is: 123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.53 : 148.46 = 81.78 : x
  2. Step 2: Convert to fraction form
    98.53/148.46 = 81.78/x
  3. Step 3: Cross multiply
    98.53x = 148.46 × 81.78
  4. Step 4: Simplify right side
    98.53x = 12,141.06
  5. Step 5: Solve for x
    x = 12,141.06/98.53
  6. Step 6: Final answer
    x = 123.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.