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Finding the Fourth Proportional to 81,199.25, 121,784.49 and 22,039.52

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Solution

The fourth proportional to 81,199.25, 121,784.49 and 22,039.52 is: 33,055.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,199.25 : 121,784.49 = 22,039.52 : x
  2. Step 2: Convert to fraction form
    81,199.25/121,784.49 = 22,039.52/x
  3. Step 3: Cross multiply
    81,199.25x = 121,784.49 × 22,039.52
  4. Step 4: Simplify right side
    81,199.25x = 2,684,071,703.04
  5. Step 5: Solve for x
    x = 2,684,071,703.04/81,199.25
  6. Step 6: Final answer
    x = 33,055.38

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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.