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Finding the Fourth Proportional to 408,099.14, 612,150.12 and 123,792.14

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Solution

The fourth proportional to 408,099.14, 612,150.12 and 123,792.14 is: 185,688.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,099.14 : 612,150.12 = 123,792.14 : x
  2. Step 2: Convert to fraction form
    408,099.14/612,150.12 = 123,792.14/x
  3. Step 3: Cross multiply
    408,099.14x = 612,150.12 × 123,792.14
  4. Step 4: Simplify right side
    408,099.14x = 75,779,370,295.31
  5. Step 5: Solve for x
    x = 75,779,370,295.31/408,099.14
  6. Step 6: Final answer
    x = 185,688.63

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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.