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Finding the Fourth Proportional to 140,552.88, 210,491.44 and 80,398.96

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Solution

The fourth proportional to 140,552.88, 210,491.44 and 80,398.96 is: 120,405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,552.88 : 210,491.44 = 80,398.96 : x
  2. Step 2: Convert to fraction form
    140,552.88/210,491.44 = 80,398.96/x
  3. Step 3: Cross multiply
    140,552.88x = 210,491.44 × 80,398.96
  4. Step 4: Simplify right side
    140,552.88x = 16,923,292,864.90
  5. Step 5: Solve for x
    x = 16,923,292,864.90/140,552.88
  6. Step 6: Final answer
    x = 120,405.17

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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.