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Finding the Fourth Proportional to 261,338.65, 391,961.09 and 69,214.30

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Solution

The fourth proportional to 261,338.65, 391,961.09 and 69,214.30 is: 103,809.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,338.65 : 391,961.09 = 69,214.30 : x
  2. Step 2: Convert to fraction form
    261,338.65/391,961.09 = 69,214.30/x
  3. Step 3: Cross multiply
    261,338.65x = 391,961.09 × 69,214.30
  4. Step 4: Simplify right side
    261,338.65x = 27,129,311,664.72
  5. Step 5: Solve for x
    x = 27,129,311,664.72/261,338.65
  6. Step 6: Final answer
    x = 103,809.03

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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.