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Finding the Fourth Proportional to 187,138.78, 280,625.13 and 116,058.54

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Solution

The fourth proportional to 187,138.78, 280,625.13 and 116,058.54 is: 174,036.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,138.78 : 280,625.13 = 116,058.54 : x
  2. Step 2: Convert to fraction form
    187,138.78/280,625.13 = 116,058.54/x
  3. Step 3: Cross multiply
    187,138.78x = 280,625.13 × 116,058.54
  4. Step 4: Simplify right side
    187,138.78x = 32,568,942,294.82
  5. Step 5: Solve for x
    x = 32,568,942,294.82/187,138.78
  6. Step 6: Final answer
    x = 174,036.31

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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.