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Finding the Fourth Proportional to 107.86, 161.70 and 87.52

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Solution

The fourth proportional to 107.86, 161.70 and 87.52 is: 131.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.86 : 161.70 = 87.52 : x
  2. Step 2: Convert to fraction form
    107.86/161.70 = 87.52/x
  3. Step 3: Cross multiply
    107.86x = 161.70 × 87.52
  4. Step 4: Simplify right side
    107.86x = 14,151.98
  5. Step 5: Solve for x
    x = 14,151.98/107.86
  6. Step 6: Final answer
    x = 131.21

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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.