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Finding the Fourth Proportional to 100.02, 149.46 and 81.75

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Solution

The fourth proportional to 100.02, 149.46 and 81.75 is: 122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.02 : 149.46 = 81.75 : x
  2. Step 2: Convert to fraction form
    100.02/149.46 = 81.75/x
  3. Step 3: Cross multiply
    100.02x = 149.46 × 81.75
  4. Step 4: Simplify right side
    100.02x = 12,218.36
  5. Step 5: Solve for x
    x = 12,218.36/100.02
  6. Step 6: Final answer
    x = 122.16

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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.