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Finding the Fourth Proportional to 100.09, 138.01 and 68.95

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Solution

The fourth proportional to 100.09, 138.01 and 68.95 is: 95.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.09 : 138.01 = 68.95 : x
  2. Step 2: Convert to fraction form
    100.09/138.01 = 68.95/x
  3. Step 3: Cross multiply
    100.09x = 138.01 × 68.95
  4. Step 4: Simplify right side
    100.09x = 9,515.79
  5. Step 5: Solve for x
    x = 9,515.79/100.09
  6. Step 6: Final answer
    x = 95.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.