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Finding the Fourth Proportional to 243,081.10, 364,512.30 and 109,892.80

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Solution

The fourth proportional to 243,081.10, 364,512.30 and 109,892.80 is: 164,789.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,081.10 : 364,512.30 = 109,892.80 : x
  2. Step 2: Convert to fraction form
    243,081.10/364,512.30 = 109,892.80/x
  3. Step 3: Cross multiply
    243,081.10x = 364,512.30 × 109,892.80
  4. Step 4: Simplify right side
    243,081.10x = 40,057,277,281.44
  5. Step 5: Solve for x
    x = 40,057,277,281.44/243,081.10
  6. Step 6: Final answer
    x = 164,789.76

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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.