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Finding the Fourth Proportional to 98.12, 147.05 and 54.68

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Solution

The fourth proportional to 98.12, 147.05 and 54.68 is: 81.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.12 : 147.05 = 54.68 : x
  2. Step 2: Convert to fraction form
    98.12/147.05 = 54.68/x
  3. Step 3: Cross multiply
    98.12x = 147.05 × 54.68
  4. Step 4: Simplify right side
    98.12x = 8,041.20
  5. Step 5: Solve for x
    x = 8,041.20/98.12
  6. Step 6: Final answer
    x = 81.95

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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.