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Finding the Fourth Proportional to 140,608.10, 210,584.10 and 137,789.30

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Solution

The fourth proportional to 140,608.10, 210,584.10 and 137,789.30 is: 206,362.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,608.10 : 210,584.10 = 137,789.30 : x
  2. Step 2: Convert to fraction form
    140,608.10/210,584.10 = 137,789.30/x
  3. Step 3: Cross multiply
    140,608.10x = 210,584.10 × 137,789.30
  4. Step 4: Simplify right side
    140,608.10x = 29,016,235,730.13
  5. Step 5: Solve for x
    x = 29,016,235,730.13/140,608.10
  6. Step 6: Final answer
    x = 206,362.48

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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.