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Finding the Fourth Proportional to 199,398.78, 298,986.03 and 66,207.74

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Solution

The fourth proportional to 199,398.78, 298,986.03 and 66,207.74 is: 99,274.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,398.78 : 298,986.03 = 66,207.74 : x
  2. Step 2: Convert to fraction form
    199,398.78/298,986.03 = 66,207.74/x
  3. Step 3: Cross multiply
    199,398.78x = 298,986.03 × 66,207.74
  4. Step 4: Simplify right side
    199,398.78x = 19,795,187,842.94
  5. Step 5: Solve for x
    x = 19,795,187,842.94/199,398.78
  6. Step 6: Final answer
    x = 99,274.37

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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.