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Finding the Fourth Proportional to 140,658.87, 210,842.49 and 87,947.31

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Solution

The fourth proportional to 140,658.87, 210,842.49 and 87,947.31 is: 131,829.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,658.87 : 210,842.49 = 87,947.31 : x
  2. Step 2: Convert to fraction form
    140,658.87/210,842.49 = 87,947.31/x
  3. Step 3: Cross multiply
    140,658.87x = 210,842.49 × 87,947.31
  4. Step 4: Simplify right side
    140,658.87x = 18,543,029,829.20
  5. Step 5: Solve for x
    x = 18,543,029,829.20/140,658.87
  6. Step 6: Final answer
    x = 131,829.79

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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.