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Finding the Fourth Proportional to 232,548.78, 320,878.69 and 137,042.49

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Solution

The fourth proportional to 232,548.78, 320,878.69 and 137,042.49 is: 189,095.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,548.78 : 320,878.69 = 137,042.49 : x
  2. Step 2: Convert to fraction form
    232,548.78/320,878.69 = 137,042.49/x
  3. Step 3: Cross multiply
    232,548.78x = 320,878.69 × 137,042.49
  4. Step 4: Simplify right side
    232,548.78x = 43,974,014,665.54
  5. Step 5: Solve for x
    x = 43,974,014,665.54/232,548.78
  6. Step 6: Final answer
    x = 189,095.87

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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.