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Finding the Fourth Proportional to 269,354, 404,089.32 and 103,142

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Solution

The fourth proportional to 269,354, 404,089.32 and 103,142 is: 154,735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,354 : 404,089.32 = 103,142 : x
  2. Step 2: Convert to fraction form
    269,354/404,089.32 = 103,142/x
  3. Step 3: Cross multiply
    269,354x = 404,089.32 × 103,142
  4. Step 4: Simplify right side
    269,354x = 41,678,580,643.44
  5. Step 5: Solve for x
    x = 41,678,580,643.44/269,354
  6. Step 6: Final answer
    x = 154,735.33

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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.