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Finding the Fourth Proportional to 100.09, 136.86 and 98.52

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Solution

The fourth proportional to 100.09, 136.86 and 98.52 is: 134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.09 : 136.86 = 98.52 : x
  2. Step 2: Convert to fraction form
    100.09/136.86 = 98.52/x
  3. Step 3: Cross multiply
    100.09x = 136.86 × 98.52
  4. Step 4: Simplify right side
    100.09x = 13,483.45
  5. Step 5: Solve for x
    x = 13,483.45/100.09
  6. Step 6: Final answer
    x = 134.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.