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Finding the Fourth Proportional to 68.83, 103.14 and 59.92

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Solution

The fourth proportional to 68.83, 103.14 and 59.92 is: 89.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.83 : 103.14 = 59.92 : x
  2. Step 2: Convert to fraction form
    68.83/103.14 = 59.92/x
  3. Step 3: Cross multiply
    68.83x = 103.14 × 59.92
  4. Step 4: Simplify right side
    68.83x = 6,179.89
  5. Step 5: Solve for x
    x = 6,179.89/68.83
  6. Step 6: Final answer
    x = 89.79

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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.