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Finding the Fourth Proportional to 201,818.51, 302,738.82 and 81,857.65

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Solution

The fourth proportional to 201,818.51, 302,738.82 and 81,857.65 is: 122,790.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,818.51 : 302,738.82 = 81,857.65 : x
  2. Step 2: Convert to fraction form
    201,818.51/302,738.82 = 81,857.65/x
  3. Step 3: Cross multiply
    201,818.51x = 302,738.82 × 81,857.65
  4. Step 4: Simplify right side
    201,818.51x = 24,781,488,298.52
  5. Step 5: Solve for x
    x = 24,781,488,298.52/201,818.51
  6. Step 6: Final answer
    x = 122,790.96

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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.