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Finding the Fourth Proportional to 269,352, 404,086.32 and 103,140

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Solution

The fourth proportional to 269,352, 404,086.32 and 103,140 is: 154,732.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,352 : 404,086.32 = 103,140 : x
  2. Step 2: Convert to fraction form
    269,352/404,086.32 = 103,140/x
  3. Step 3: Cross multiply
    269,352x = 404,086.32 × 103,140
  4. Step 4: Simplify right side
    269,352x = 41,677,463,044.80
  5. Step 5: Solve for x
    x = 41,677,463,044.80/269,352
  6. Step 6: Final answer
    x = 154,732.33

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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.