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Finding the Fourth Proportional to 100.12, 149.12 and 98.93

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Solution

The fourth proportional to 100.12, 149.12 and 98.93 is: 147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.12 : 149.12 = 98.93 : x
  2. Step 2: Convert to fraction form
    100.12/149.12 = 98.93/x
  3. Step 3: Cross multiply
    100.12x = 149.12 × 98.93
  4. Step 4: Simplify right side
    100.12x = 14,752.44
  5. Step 5: Solve for x
    x = 14,752.44/100.12
  6. Step 6: Final answer
    x = 147.35

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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.