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Finding the Fourth Proportional to 121,351.64, 181,884.51 and 54,713.75

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Solution

The fourth proportional to 121,351.64, 181,884.51 and 54,713.75 is: 82,006.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,351.64 : 181,884.51 = 54,713.75 : x
  2. Step 2: Convert to fraction form
    121,351.64/181,884.51 = 54,713.75/x
  3. Step 3: Cross multiply
    121,351.64x = 181,884.51 × 54,713.75
  4. Step 4: Simplify right side
    121,351.64x = 9,951,582,699.59
  5. Step 5: Solve for x
    x = 9,951,582,699.59/121,351.64
  6. Step 6: Final answer
    x = 82,006.17

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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.