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Finding the Fourth Proportional to 238,021.86, 357,034.02 and 80,251.68

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Solution

The fourth proportional to 238,021.86, 357,034.02 and 80,251.68 is: 120,377.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,021.86 : 357,034.02 = 80,251.68 : x
  2. Step 2: Convert to fraction form
    238,021.86/357,034.02 = 80,251.68/x
  3. Step 3: Cross multiply
    238,021.86x = 357,034.02 × 80,251.68
  4. Step 4: Simplify right side
    238,021.86x = 28,652,579,922.15
  5. Step 5: Solve for x
    x = 28,652,579,922.15/238,021.86
  6. Step 6: Final answer
    x = 120,377.93

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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.