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Finding the Fourth Proportional to 100.78, 139.05 and 83.44

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Solution

The fourth proportional to 100.78, 139.05 and 83.44 is: 115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.78 : 139.05 = 83.44 : x
  2. Step 2: Convert to fraction form
    100.78/139.05 = 83.44/x
  3. Step 3: Cross multiply
    100.78x = 139.05 × 83.44
  4. Step 4: Simplify right side
    100.78x = 11,602.33
  5. Step 5: Solve for x
    x = 11,602.33/100.78
  6. Step 6: Final answer
    x = 115.13

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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.