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Finding the Fourth Proportional to 205,825.38, 308,885.67 and 87,579.78

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Solution

The fourth proportional to 205,825.38, 308,885.67 and 87,579.78 is: 131,432.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,825.38 : 308,885.67 = 87,579.78 : x
  2. Step 2: Convert to fraction form
    205,825.38/308,885.67 = 87,579.78/x
  3. Step 3: Cross multiply
    205,825.38x = 308,885.67 × 87,579.78
  4. Step 4: Simplify right side
    205,825.38x = 27,052,139,023.75
  5. Step 5: Solve for x
    x = 27,052,139,023.75/205,825.38
  6. Step 6: Final answer
    x = 131,432.47

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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.