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Finding the Fourth Proportional to 59.06, 81.36 and 49.19

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Solution

The fourth proportional to 59.06, 81.36 and 49.19 is: 67.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.06 : 81.36 = 49.19 : x
  2. Step 2: Convert to fraction form
    59.06/81.36 = 49.19/x
  3. Step 3: Cross multiply
    59.06x = 81.36 × 49.19
  4. Step 4: Simplify right side
    59.06x = 4,001.69
  5. Step 5: Solve for x
    x = 4,001.69/59.06
  6. Step 6: Final answer
    x = 67.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.