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Finding the Fourth Proportional to 100.48, 138.50 and 78.61

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Solution

The fourth proportional to 100.48, 138.50 and 78.61 is: 108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.48 : 138.50 = 78.61 : x
  2. Step 2: Convert to fraction form
    100.48/138.50 = 78.61/x
  3. Step 3: Cross multiply
    100.48x = 138.50 × 78.61
  4. Step 4: Simplify right side
    100.48x = 10,886.99
  5. Step 5: Solve for x
    x = 10,886.99/100.48
  6. Step 6: Final answer
    x = 108.36

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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.