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Finding the Fourth Proportional to 199,343.90, 298,928.10 and 72,951.30

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Solution

The fourth proportional to 199,343.90, 298,928.10 and 72,951.30 is: 109,394.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,343.90 : 298,928.10 = 72,951.30 : x
  2. Step 2: Convert to fraction form
    199,343.90/298,928.10 = 72,951.30/x
  3. Step 3: Cross multiply
    199,343.90x = 298,928.10 × 72,951.30
  4. Step 4: Simplify right side
    199,343.90x = 21,807,193,775.10
  5. Step 5: Solve for x
    x = 21,807,193,775.10/199,343.90
  6. Step 6: Final answer
    x = 109,394.84

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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.