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Finding the Fourth Proportional to 204,915, 282,784.92 and 115,491

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Solution

The fourth proportional to 204,915, 282,784.92 and 115,491 is: 159,378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,915 : 282,784.92 = 115,491 : x
  2. Step 2: Convert to fraction form
    204,915/282,784.92 = 115,491/x
  3. Step 3: Cross multiply
    204,915x = 282,784.92 × 115,491
  4. Step 4: Simplify right side
    204,915x = 32,659,113,195.72
  5. Step 5: Solve for x
    x = 32,659,113,195.72/204,915
  6. Step 6: Final answer
    x = 159,378.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.