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Finding the Fourth Proportional to 121,523.60, 182,285.40 and 54,965.90

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Solution

The fourth proportional to 121,523.60, 182,285.40 and 54,965.90 is: 82,448.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,523.60 : 182,285.40 = 54,965.90 : x
  2. Step 2: Convert to fraction form
    121,523.60/182,285.40 = 54,965.90/x
  3. Step 3: Cross multiply
    121,523.60x = 182,285.40 × 54,965.90
  4. Step 4: Simplify right side
    121,523.60x = 10,019,481,067.86
  5. Step 5: Solve for x
    x = 10,019,481,067.86/121,523.60
  6. Step 6: Final answer
    x = 82,448.85

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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.