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Finding the Fourth Proportional to 140.04, 209.90 and 85.96

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Solution

The fourth proportional to 140.04, 209.90 and 85.96 is: 128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.04 : 209.90 = 85.96 : x
  2. Step 2: Convert to fraction form
    140.04/209.90 = 85.96/x
  3. Step 3: Cross multiply
    140.04x = 209.90 × 85.96
  4. Step 4: Simplify right side
    140.04x = 18,043.00
  5. Step 5: Solve for x
    x = 18,043.00/140.04
  6. Step 6: Final answer
    x = 128.84

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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.