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Finding the Fourth Proportional to 100.96, 139.02 and 86.36

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Solution

The fourth proportional to 100.96, 139.02 and 86.36 is: 118.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.96 : 139.02 = 86.36 : x
  2. Step 2: Convert to fraction form
    100.96/139.02 = 86.36/x
  3. Step 3: Cross multiply
    100.96x = 139.02 × 86.36
  4. Step 4: Simplify right side
    100.96x = 12,005.77
  5. Step 5: Solve for x
    x = 12,005.77/100.96
  6. Step 6: Final answer
    x = 118.92

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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.