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Finding the Fourth Proportional to 238,299.28, 357,447.72 and 111,938.86

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Solution

The fourth proportional to 238,299.28, 357,447.72 and 111,938.86 is: 167,907.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,299.28 : 357,447.72 = 111,938.86 : x
  2. Step 2: Convert to fraction form
    238,299.28/357,447.72 = 111,938.86/x
  3. Step 3: Cross multiply
    238,299.28x = 357,447.72 × 111,938.86
  4. Step 4: Simplify right side
    238,299.28x = 40,012,290,995.57
  5. Step 5: Solve for x
    x = 40,012,290,995.57/238,299.28
  6. Step 6: Final answer
    x = 167,907.73

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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.