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Finding the Fourth Proportional to 107.60, 162.07 and 87.55

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Solution

The fourth proportional to 107.60, 162.07 and 87.55 is: 131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.60 : 162.07 = 87.55 : x
  2. Step 2: Convert to fraction form
    107.60/162.07 = 87.55/x
  3. Step 3: Cross multiply
    107.60x = 162.07 × 87.55
  4. Step 4: Simplify right side
    107.60x = 14,188.60
  5. Step 5: Solve for x
    x = 14,188.60/107.60
  6. Step 6: Final answer
    x = 131.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.