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Finding the Fourth Proportional to 100.83, 139.08 and 78.96

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Solution

The fourth proportional to 100.83, 139.08 and 78.96 is: 108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.83 : 139.08 = 78.96 : x
  2. Step 2: Convert to fraction form
    100.83/139.08 = 78.96/x
  3. Step 3: Cross multiply
    100.83x = 139.08 × 78.96
  4. Step 4: Simplify right side
    100.83x = 10,981.76
  5. Step 5: Solve for x
    x = 10,981.76/100.83
  6. Step 6: Final answer
    x = 108.91

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