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Finding the Fourth Proportional to 100.59, 138.73 and 79.82

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Solution

The fourth proportional to 100.59, 138.73 and 79.82 is: 110.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.59 : 138.73 = 79.82 : x
  2. Step 2: Convert to fraction form
    100.59/138.73 = 79.82/x
  3. Step 3: Cross multiply
    100.59x = 138.73 × 79.82
  4. Step 4: Simplify right side
    100.59x = 11,073.21
  5. Step 5: Solve for x
    x = 11,073.21/100.59
  6. Step 6: Final answer
    x = 110.08

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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.