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Finding the Fourth Proportional to 98.87, 147.13 and 92.42

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Solution

The fourth proportional to 98.87, 147.13 and 92.42 is: 137.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.87 : 147.13 = 92.42 : x
  2. Step 2: Convert to fraction form
    98.87/147.13 = 92.42/x
  3. Step 3: Cross multiply
    98.87x = 147.13 × 92.42
  4. Step 4: Simplify right side
    98.87x = 13,597.06
  5. Step 5: Solve for x
    x = 13,597.06/98.87
  6. Step 6: Final answer
    x = 137.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.