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Finding the Fourth Proportional to 243,218.52, 364,579.92 and 137,814.84

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Solution

The fourth proportional to 243,218.52, 364,579.92 and 137,814.84 is: 206,581.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,218.52 : 364,579.92 = 137,814.84 : x
  2. Step 2: Convert to fraction form
    243,218.52/364,579.92 = 137,814.84/x
  3. Step 3: Cross multiply
    243,218.52x = 364,579.92 × 137,814.84
  4. Step 4: Simplify right side
    243,218.52x = 50,244,523,342.01
  5. Step 5: Solve for x
    x = 50,244,523,342.01/243,218.52
  6. Step 6: Final answer
    x = 206,581.82

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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.