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Finding the Fourth Proportional to 311,665, 467,575.26 and 90,049

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Solution

The fourth proportional to 311,665, 467,575.26 and 90,049 is: 135,095.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,665 : 467,575.26 = 90,049 : x
  2. Step 2: Convert to fraction form
    311,665/467,575.26 = 90,049/x
  3. Step 3: Cross multiply
    311,665x = 467,575.26 × 90,049
  4. Step 4: Simplify right side
    311,665x = 42,104,684,587.74
  5. Step 5: Solve for x
    x = 42,104,684,587.74/311,665
  6. Step 6: Final answer
    x = 135,095.97

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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.