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Finding the Fourth Proportional to 276,038.72, 414,058.22 and 86,513.85

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Solution

The fourth proportional to 276,038.72, 414,058.22 and 86,513.85 is: 129,770.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,038.72 : 414,058.22 = 86,513.85 : x
  2. Step 2: Convert to fraction form
    276,038.72/414,058.22 = 86,513.85/x
  3. Step 3: Cross multiply
    276,038.72x = 414,058.22 × 86,513.85
  4. Step 4: Simplify right side
    276,038.72x = 35,821,770,736.35
  5. Step 5: Solve for x
    x = 35,821,770,736.35/276,038.72
  6. Step 6: Final answer
    x = 129,770.82

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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.