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Finding the Fourth Proportional to 120,853.94, 181,218.62 and 54,236.94

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Solution

The fourth proportional to 120,853.94, 181,218.62 and 54,236.94 is: 81,327.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,853.94 : 181,218.62 = 54,236.94 : x
  2. Step 2: Convert to fraction form
    120,853.94/181,218.62 = 54,236.94/x
  3. Step 3: Cross multiply
    120,853.94x = 181,218.62 × 54,236.94
  4. Step 4: Simplify right side
    120,853.94x = 9,828,743,148.64
  5. Step 5: Solve for x
    x = 9,828,743,148.64/120,853.94
  6. Step 6: Final answer
    x = 81,327.46

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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.