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Finding the Fourth Proportional to 230,092.84, 345,040.44 and 80,288.20

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Solution

The fourth proportional to 230,092.84, 345,040.44 and 80,288.20 is: 120,397.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,092.84 : 345,040.44 = 80,288.20 : x
  2. Step 2: Convert to fraction form
    230,092.84/345,040.44 = 80,288.20/x
  3. Step 3: Cross multiply
    230,092.84x = 345,040.44 × 80,288.20
  4. Step 4: Simplify right side
    230,092.84x = 27,702,675,854.81
  5. Step 5: Solve for x
    x = 27,702,675,854.81/230,092.84
  6. Step 6: Final answer
    x = 120,397.82

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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.