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Finding the Fourth Proportional to 120,786.57, 181,138.86 and 45,888.66

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Solution

The fourth proportional to 120,786.57, 181,138.86 and 45,888.66 is: 68,817.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,786.57 : 181,138.86 = 45,888.66 : x
  2. Step 2: Convert to fraction form
    120,786.57/181,138.86 = 45,888.66/x
  3. Step 3: Cross multiply
    120,786.57x = 181,138.86 × 45,888.66
  4. Step 4: Simplify right side
    120,786.57x = 8,312,219,559.33
  5. Step 5: Solve for x
    x = 8,312,219,559.33/120,786.57
  6. Step 6: Final answer
    x = 68,817.42

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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.