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Finding the Fourth Proportional to 69.47, 103.72 and 59.83

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Solution

The fourth proportional to 69.47, 103.72 and 59.83 is: 89.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.47 : 103.72 = 59.83 : x
  2. Step 2: Convert to fraction form
    69.47/103.72 = 59.83/x
  3. Step 3: Cross multiply
    69.47x = 103.72 × 59.83
  4. Step 4: Simplify right side
    69.47x = 6,205.57
  5. Step 5: Solve for x
    x = 6,205.57/69.47
  6. Step 6: Final answer
    x = 89.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.