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Finding the Fourth Proportional to 121,067.26, 181,600.89 and 54,494.98

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Solution

The fourth proportional to 121,067.26, 181,600.89 and 54,494.98 is: 81,742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,067.26 : 181,600.89 = 54,494.98 : x
  2. Step 2: Convert to fraction form
    121,067.26/181,600.89 = 54,494.98/x
  3. Step 3: Cross multiply
    121,067.26x = 181,600.89 × 54,494.98
  4. Step 4: Simplify right side
    121,067.26x = 9,896,336,210.17
  5. Step 5: Solve for x
    x = 9,896,336,210.17/121,067.26
  6. Step 6: Final answer
    x = 81,742.47

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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.