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Finding the Fourth Proportional to 120,866.49, 181,299.78 and 45,969.33

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Solution

The fourth proportional to 120,866.49, 181,299.78 and 45,969.33 is: 68,954.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,866.49 : 181,299.78 = 45,969.33 : x
  2. Step 2: Convert to fraction form
    120,866.49/181,299.78 = 45,969.33/x
  3. Step 3: Cross multiply
    120,866.49x = 181,299.78 × 45,969.33
  4. Step 4: Simplify right side
    120,866.49x = 8,334,229,415.75
  5. Step 5: Solve for x
    x = 8,334,229,415.75/120,866.49
  6. Step 6: Final answer
    x = 68,954.01

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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.