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Finding the Fourth Proportional to 98.85, 148.07 and 96.12

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Solution

The fourth proportional to 98.85, 148.07 and 96.12 is: 143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.85 : 148.07 = 96.12 : x
  2. Step 2: Convert to fraction form
    98.85/148.07 = 96.12/x
  3. Step 3: Cross multiply
    98.85x = 148.07 × 96.12
  4. Step 4: Simplify right side
    98.85x = 14,232.49
  5. Step 5: Solve for x
    x = 14,232.49/98.85
  6. Step 6: Final answer
    x = 143.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.