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Finding the Fourth Proportional to 269,841.88, 405,011.74 and 136,815

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Solution

The fourth proportional to 269,841.88, 405,011.74 and 136,815 is: 205,348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,841.88 : 405,011.74 = 136,815 : x
  2. Step 2: Convert to fraction form
    269,841.88/405,011.74 = 136,815/x
  3. Step 3: Cross multiply
    269,841.88x = 405,011.74 × 136,815
  4. Step 4: Simplify right side
    269,841.88x = 55,411,681,208.10
  5. Step 5: Solve for x
    x = 55,411,681,208.10/269,841.88
  6. Step 6: Final answer
    x = 205,348.71

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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.