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Finding the Fourth Proportional to 111.60, 168.02 and 87.35

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Solution

The fourth proportional to 111.60, 168.02 and 87.35 is: 131.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.60 : 168.02 = 87.35 : x
  2. Step 2: Convert to fraction form
    111.60/168.02 = 87.35/x
  3. Step 3: Cross multiply
    111.60x = 168.02 × 87.35
  4. Step 4: Simplify right side
    111.60x = 14,676.53
  5. Step 5: Solve for x
    x = 14,676.53/111.60
  6. Step 6: Final answer
    x = 131.51

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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.