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Finding the Fourth Proportional to 140,215.76, 209,988.33 and 80,871.51

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Solution

The fourth proportional to 140,215.76, 209,988.33 and 80,871.51 is: 121,113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,215.76 : 209,988.33 = 80,871.51 : x
  2. Step 2: Convert to fraction form
    140,215.76/209,988.33 = 80,871.51/x
  3. Step 3: Cross multiply
    140,215.76x = 209,988.33 × 80,871.51
  4. Step 4: Simplify right side
    140,215.76x = 16,982,073,329.48
  5. Step 5: Solve for x
    x = 16,982,073,329.48/140,215.76
  6. Step 6: Final answer
    x = 121,113.87

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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.