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Finding the Fourth Proportional to 98.15, 146.89 and 75.19

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Solution

The fourth proportional to 98.15, 146.89 and 75.19 is: 112.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.15 : 146.89 = 75.19 : x
  2. Step 2: Convert to fraction form
    98.15/146.89 = 75.19/x
  3. Step 3: Cross multiply
    98.15x = 146.89 × 75.19
  4. Step 4: Simplify right side
    98.15x = 11,044.66
  5. Step 5: Solve for x
    x = 11,044.66/98.15
  6. Step 6: Final answer
    x = 112.53

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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.