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Finding the Fourth Proportional to 269,794.72, 372,316.64 and 148,936

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Solution

The fourth proportional to 269,794.72, 372,316.64 and 148,936 is: 205,531.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,794.72 : 372,316.64 = 148,936 : x
  2. Step 2: Convert to fraction form
    269,794.72/372,316.64 = 148,936/x
  3. Step 3: Cross multiply
    269,794.72x = 372,316.64 × 148,936
  4. Step 4: Simplify right side
    269,794.72x = 55,451,351,095.04
  5. Step 5: Solve for x
    x = 55,451,351,095.04/269,794.72
  6. Step 6: Final answer
    x = 205,531.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.