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Finding the Fourth Proportional to 120,704.72, 181,058.96 and 45,805.08

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Solution

The fourth proportional to 120,704.72, 181,058.96 and 45,805.08 is: 68,708.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,704.72 : 181,058.96 = 45,805.08 : x
  2. Step 2: Convert to fraction form
    120,704.72/181,058.96 = 45,805.08/x
  3. Step 3: Cross multiply
    120,704.72x = 181,058.96 × 45,805.08
  4. Step 4: Simplify right side
    120,704.72x = 8,293,420,147.52
  5. Step 5: Solve for x
    x = 8,293,420,147.52/120,704.72
  6. Step 6: Final answer
    x = 68,708.33

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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.