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Finding the Fourth Proportional to 269,842.88, 405,013.24 and 136,816

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Solution

The fourth proportional to 269,842.88, 405,013.24 and 136,816 is: 205,350.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,842.88 : 405,013.24 = 136,816 : x
  2. Step 2: Convert to fraction form
    269,842.88/405,013.24 = 136,816/x
  3. Step 3: Cross multiply
    269,842.88x = 405,013.24 × 136,816
  4. Step 4: Simplify right side
    269,842.88x = 55,412,291,443.84
  5. Step 5: Solve for x
    x = 55,412,291,443.84/269,842.88
  6. Step 6: Final answer
    x = 205,350.21

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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.