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Finding the Fourth Proportional to 59.09, 81.34 and 49.86

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Solution

The fourth proportional to 59.09, 81.34 and 49.86 is: 68.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.09 : 81.34 = 49.86 : x
  2. Step 2: Convert to fraction form
    59.09/81.34 = 49.86/x
  3. Step 3: Cross multiply
    59.09x = 81.34 × 49.86
  4. Step 4: Simplify right side
    59.09x = 4,055.49
  5. Step 5: Solve for x
    x = 4,055.49/59.09
  6. Step 6: Final answer
    x = 68.64

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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.