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Finding the Fourth Proportional to 136,772.20, 205,069.20 and 122,775.40

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Solution

The fourth proportional to 136,772.20, 205,069.20 and 122,775.40 is: 184,083.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,772.20 : 205,069.20 = 122,775.40 : x
  2. Step 2: Convert to fraction form
    136,772.20/205,069.20 = 122,775.40/x
  3. Step 3: Cross multiply
    136,772.20x = 205,069.20 × 122,775.40
  4. Step 4: Simplify right side
    136,772.20x = 25,177,453,057.68
  5. Step 5: Solve for x
    x = 25,177,453,057.68/136,772.20
  6. Step 6: Final answer
    x = 184,083.12

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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.