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Finding the Fourth Proportional to 208,793.40, 313,188.60 and 51,020.40

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Solution

The fourth proportional to 208,793.40, 313,188.60 and 51,020.40 is: 76,530.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,793.40 : 313,188.60 = 51,020.40 : x
  2. Step 2: Convert to fraction form
    208,793.40/313,188.60 = 51,020.40/x
  3. Step 3: Cross multiply
    208,793.40x = 313,188.60 × 51,020.40
  4. Step 4: Simplify right side
    208,793.40x = 15,979,007,647.44
  5. Step 5: Solve for x
    x = 15,979,007,647.44/208,793.40
  6. Step 6: Final answer
    x = 76,530.23

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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.