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Finding the Fourth Proportional to 211,932.94, 317,836 and 69,751.97

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Solution

The fourth proportional to 211,932.94, 317,836 and 69,751.97 is: 104,607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,932.94 : 317,836 = 69,751.97 : x
  2. Step 2: Convert to fraction form
    211,932.94/317,836 = 69,751.97/x
  3. Step 3: Cross multiply
    211,932.94x = 317,836 × 69,751.97
  4. Step 4: Simplify right side
    211,932.94x = 22,169,687,136.92
  5. Step 5: Solve for x
    x = 22,169,687,136.92/211,932.94
  6. Step 6: Final answer
    x = 104,607.09

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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.