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Finding the Fourth Proportional to 121,166.28, 181,843.56 and 83,986.56

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Solution

The fourth proportional to 121,166.28, 181,843.56 and 83,986.56 is: 126,045.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,166.28 : 181,843.56 = 83,986.56 : x
  2. Step 2: Convert to fraction form
    121,166.28/181,843.56 = 83,986.56/x
  3. Step 3: Cross multiply
    121,166.28x = 181,843.56 × 83,986.56
  4. Step 4: Simplify right side
    121,166.28x = 15,272,415,062.55
  5. Step 5: Solve for x
    x = 15,272,415,062.55/121,166.28
  6. Step 6: Final answer
    x = 126,045.09

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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.