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Finding the Fourth Proportional to 140,658.62, 210,842.12 and 87,947.06

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Solution

The fourth proportional to 140,658.62, 210,842.12 and 87,947.06 is: 131,829.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,658.62 : 210,842.12 = 87,947.06 : x
  2. Step 2: Convert to fraction form
    140,658.62/210,842.12 = 87,947.06/x
  3. Step 3: Cross multiply
    140,658.62x = 210,842.12 × 87,947.06
  4. Step 4: Simplify right side
    140,658.62x = 18,542,943,743.82
  5. Step 5: Solve for x
    x = 18,542,943,743.82/140,658.62
  6. Step 6: Final answer
    x = 131,829.42

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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.