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Finding the Fourth Proportional to 269,356, 404,092.32 and 103,144

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Solution

The fourth proportional to 269,356, 404,092.32 and 103,144 is: 154,738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,356 : 404,092.32 = 103,144 : x
  2. Step 2: Convert to fraction form
    269,356/404,092.32 = 103,144/x
  3. Step 3: Cross multiply
    269,356x = 404,092.32 × 103,144
  4. Step 4: Simplify right side
    269,356x = 41,679,698,254.08
  5. Step 5: Solve for x
    x = 41,679,698,254.08/269,356
  6. Step 6: Final answer
    x = 154,738.33

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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.