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Finding the Fourth Proportional to 121,476.78, 182,382.84 and 83,944.35

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Solution

The fourth proportional to 121,476.78, 182,382.84 and 83,944.35 is: 126,032.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,476.78 : 182,382.84 = 83,944.35 : x
  2. Step 2: Convert to fraction form
    121,476.78/182,382.84 = 83,944.35/x
  3. Step 3: Cross multiply
    121,476.78x = 182,382.84 × 83,944.35
  4. Step 4: Simplify right side
    121,476.78x = 15,310,008,954.95
  5. Step 5: Solve for x
    x = 15,310,008,954.95/121,476.78
  6. Step 6: Final answer
    x = 126,032.39

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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.