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Finding the Fourth Proportional to 199,400.78, 298,989.03 and 66,209.74

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Solution

The fourth proportional to 199,400.78, 298,989.03 and 66,209.74 is: 99,277.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,400.78 : 298,989.03 = 66,209.74 : x
  2. Step 2: Convert to fraction form
    199,400.78/298,989.03 = 66,209.74/x
  3. Step 3: Cross multiply
    199,400.78x = 298,989.03 × 66,209.74
  4. Step 4: Simplify right side
    199,400.78x = 19,795,985,939.15
  5. Step 5: Solve for x
    x = 19,795,985,939.15/199,400.78
  6. Step 6: Final answer
    x = 99,277.37

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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.