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Finding the Fourth Proportional to 119.01, 164.24 and 87.91

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Solution

The fourth proportional to 119.01, 164.24 and 87.91 is: 121.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.01 : 164.24 = 87.91 : x
  2. Step 2: Convert to fraction form
    119.01/164.24 = 87.91/x
  3. Step 3: Cross multiply
    119.01x = 164.24 × 87.91
  4. Step 4: Simplify right side
    119.01x = 14,438.34
  5. Step 5: Solve for x
    x = 14,438.34/119.01
  6. Step 6: Final answer
    x = 121.32

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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.