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Finding the Fourth Proportional to 71, 107.08 and 67.83

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Solution

The fourth proportional to 71, 107.08 and 67.83 is: 102.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71 : 107.08 = 67.83 : x
  2. Step 2: Convert to fraction form
    71/107.08 = 67.83/x
  3. Step 3: Cross multiply
    71x = 107.08 × 67.83
  4. Step 4: Simplify right side
    71x = 7,263.24
  5. Step 5: Solve for x
    x = 7,263.24/71
  6. Step 6: Final answer
    x = 102.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.