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Finding the Fourth Proportional to 266,564.77, 399,849.21 and 66,886.21

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Solution

The fourth proportional to 266,564.77, 399,849.21 and 66,886.21 is: 100,329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,564.77 : 399,849.21 = 66,886.21 : x
  2. Step 2: Convert to fraction form
    266,564.77/399,849.21 = 66,886.21/x
  3. Step 3: Cross multiply
    266,564.77x = 399,849.21 × 66,886.21
  4. Step 4: Simplify right side
    266,564.77x = 26,744,396,479.05
  5. Step 5: Solve for x
    x = 26,744,396,479.05/266,564.77
  6. Step 6: Final answer
    x = 100,329.82

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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.