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Finding the Fourth Proportional to 98.94, 148.14 and 81.66

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Solution

The fourth proportional to 98.94, 148.14 and 81.66 is: 122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.94 : 148.14 = 81.66 : x
  2. Step 2: Convert to fraction form
    98.94/148.14 = 81.66/x
  3. Step 3: Cross multiply
    98.94x = 148.14 × 81.66
  4. Step 4: Simplify right side
    98.94x = 12,097.11
  5. Step 5: Solve for x
    x = 12,097.11/98.94
  6. Step 6: Final answer
    x = 122.27

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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.