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Finding the Fourth Proportional to 219,099.49, 328,685.55 and 76,907.87

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Solution

The fourth proportional to 219,099.49, 328,685.55 and 76,907.87 is: 115,374.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,099.49 : 328,685.55 = 76,907.87 : x
  2. Step 2: Convert to fraction form
    219,099.49/328,685.55 = 76,907.87/x
  3. Step 3: Cross multiply
    219,099.49x = 328,685.55 × 76,907.87
  4. Step 4: Simplify right side
    219,099.49x = 25,278,503,906.85
  5. Step 5: Solve for x
    x = 25,278,503,906.85/219,099.49
  6. Step 6: Final answer
    x = 115,374.55

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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.