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Finding the Fourth Proportional to 211,843.38, 317,764.62 and 133,012.98

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Solution

The fourth proportional to 211,843.38, 317,764.62 and 133,012.98 is: 199,519.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,843.38 : 317,764.62 = 133,012.98 : x
  2. Step 2: Convert to fraction form
    211,843.38/317,764.62 = 133,012.98/x
  3. Step 3: Cross multiply
    211,843.38x = 317,764.62 × 133,012.98
  4. Step 4: Simplify right side
    211,843.38x = 42,266,819,044.77
  5. Step 5: Solve for x
    x = 42,266,819,044.77/211,843.38
  6. Step 6: Final answer
    x = 199,519.19

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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.