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Finding the Fourth Proportional to 107.86, 161.82 and 59.80

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Solution

The fourth proportional to 107.86, 161.82 and 59.80 is: 89.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.86 : 161.82 = 59.80 : x
  2. Step 2: Convert to fraction form
    107.86/161.82 = 59.80/x
  3. Step 3: Cross multiply
    107.86x = 161.82 × 59.80
  4. Step 4: Simplify right side
    107.86x = 9,676.84
  5. Step 5: Solve for x
    x = 9,676.84/107.86
  6. Step 6: Final answer
    x = 89.72

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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.