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Finding the Fourth Proportional to 119.04, 164.19 and 87.90

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Solution

The fourth proportional to 119.04, 164.19 and 87.90 is: 121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.04 : 164.19 = 87.90 : x
  2. Step 2: Convert to fraction form
    119.04/164.19 = 87.90/x
  3. Step 3: Cross multiply
    119.04x = 164.19 × 87.90
  4. Step 4: Simplify right side
    119.04x = 14,432.30
  5. Step 5: Solve for x
    x = 14,432.30/119.04
  6. Step 6: Final answer
    x = 121.24

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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.