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Finding the Fourth Proportional to 121,122, 181,684.62 and 38,016

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Solution

The fourth proportional to 121,122, 181,684.62 and 38,016 is: 57,024.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,122 : 181,684.62 = 38,016 : x
  2. Step 2: Convert to fraction form
    121,122/181,684.62 = 38,016/x
  3. Step 3: Cross multiply
    121,122x = 181,684.62 × 38,016
  4. Step 4: Simplify right side
    121,122x = 6,906,922,513.92
  5. Step 5: Solve for x
    x = 6,906,922,513.92/121,122
  6. Step 6: Final answer
    x = 57,024.51

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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.