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Finding the Fourth Proportional to 185,689.89, 278,638.33 and 100,299.02

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Solution

The fourth proportional to 185,689.89, 278,638.33 and 100,299.02 is: 150,504.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,689.89 : 278,638.33 = 100,299.02 : x
  2. Step 2: Convert to fraction form
    185,689.89/278,638.33 = 100,299.02/x
  3. Step 3: Cross multiply
    185,689.89x = 278,638.33 × 100,299.02
  4. Step 4: Simplify right side
    185,689.89x = 27,947,151,433.44
  5. Step 5: Solve for x
    x = 27,947,151,433.44/185,689.89
  6. Step 6: Final answer
    x = 150,504.43

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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.