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Finding the Fourth Proportional to 120,867.64, 181,300.11 and 73,495.78

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Solution

The fourth proportional to 120,867.64, 181,300.11 and 73,495.78 is: 110,242.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,867.64 : 181,300.11 = 73,495.78 : x
  2. Step 2: Convert to fraction form
    120,867.64/181,300.11 = 73,495.78/x
  3. Step 3: Cross multiply
    120,867.64x = 181,300.11 × 73,495.78
  4. Step 4: Simplify right side
    120,867.64x = 13,324,792,998.54
  5. Step 5: Solve for x
    x = 13,324,792,998.54/120,867.64
  6. Step 6: Final answer
    x = 110,242.85

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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.