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Finding the Fourth Proportional to 266,050.62, 399,033.05 and 76,467.78

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Solution

The fourth proportional to 266,050.62, 399,033.05 and 76,467.78 is: 114,689.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,050.62 : 399,033.05 = 76,467.78 : x
  2. Step 2: Convert to fraction form
    266,050.62/399,033.05 = 76,467.78/x
  3. Step 3: Cross multiply
    266,050.62x = 399,033.05 × 76,467.78
  4. Step 4: Simplify right side
    266,050.62x = 30,513,171,097.79
  5. Step 5: Solve for x
    x = 30,513,171,097.79/266,050.62
  6. Step 6: Final answer
    x = 114,689.34

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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.