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Finding the Fourth Proportional to 121,227.90, 181,904.13 and 53,806.16

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Solution

The fourth proportional to 121,227.90, 181,904.13 and 53,806.16 is: 80,736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,227.90 : 181,904.13 = 53,806.16 : x
  2. Step 2: Convert to fraction form
    121,227.90/181,904.13 = 53,806.16/x
  3. Step 3: Cross multiply
    121,227.90x = 181,904.13 × 53,806.16
  4. Step 4: Simplify right side
    121,227.90x = 9,787,561,813.92
  5. Step 5: Solve for x
    x = 9,787,561,813.92/121,227.90
  6. Step 6: Final answer
    x = 80,736.88

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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.