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Finding the Fourth Proportional to 71.78, 107.64 and 26.11

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Solution

The fourth proportional to 71.78, 107.64 and 26.11 is: 39.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.78 : 107.64 = 26.11 : x
  2. Step 2: Convert to fraction form
    71.78/107.64 = 26.11/x
  3. Step 3: Cross multiply
    71.78x = 107.64 × 26.11
  4. Step 4: Simplify right side
    71.78x = 2,810.21
  5. Step 5: Solve for x
    x = 2,810.21/71.78
  6. Step 6: Final answer
    x = 39.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.