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Finding the Fourth Proportional to 269,921.72, 405,129.38 and 136,893.72

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Solution

The fourth proportional to 269,921.72, 405,129.38 and 136,893.72 is: 205,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,921.72 : 405,129.38 = 136,893.72 : x
  2. Step 2: Convert to fraction form
    269,921.72/405,129.38 = 136,893.72/x
  3. Step 3: Cross multiply
    269,921.72x = 405,129.38 × 136,893.72
  4. Step 4: Simplify right side
    269,921.72x = 55,459,667,909.49
  5. Step 5: Solve for x
    x = 55,459,667,909.49/269,921.72
  6. Step 6: Final answer
    x = 205,465.75

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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.