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Finding the Fourth Proportional to 269,215.20, 403,725.60 and 136,051.20

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Solution

The fourth proportional to 269,215.20, 403,725.60 and 136,051.20 is: 204,027.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,215.20 : 403,725.60 = 136,051.20 : x
  2. Step 2: Convert to fraction form
    269,215.20/403,725.60 = 136,051.20/x
  3. Step 3: Cross multiply
    269,215.20x = 403,725.60 × 136,051.20
  4. Step 4: Simplify right side
    269,215.20x = 54,927,352,350.72
  5. Step 5: Solve for x
    x = 54,927,352,350.72/269,215.20
  6. Step 6: Final answer
    x = 204,027.68

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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.