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Finding the Fourth Proportional to 103,201.50, 154,809.57 and 40,872

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Solution

The fourth proportional to 103,201.50, 154,809.57 and 40,872 is: 61,310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,201.50 : 154,809.57 = 40,872 : x
  2. Step 2: Convert to fraction form
    103,201.50/154,809.57 = 40,872/x
  3. Step 3: Cross multiply
    103,201.50x = 154,809.57 × 40,872
  4. Step 4: Simplify right side
    103,201.50x = 6,327,376,745.04
  5. Step 5: Solve for x
    x = 6,327,376,745.04/103,201.50
  6. Step 6: Final answer
    x = 61,310.90

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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.