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Finding the Fourth Proportional to 100,643.90, 150,793.05 and 47,939.90

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Solution

The fourth proportional to 100,643.90, 150,793.05 and 47,939.90 is: 71,827.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,643.90 : 150,793.05 = 47,939.90 : x
  2. Step 2: Convert to fraction form
    100,643.90/150,793.05 = 47,939.90/x
  3. Step 3: Cross multiply
    100,643.90x = 150,793.05 × 47,939.90
  4. Step 4: Simplify right side
    100,643.90x = 7,229,003,737.70
  5. Step 5: Solve for x
    x = 7,229,003,737.70/100,643.90
  6. Step 6: Final answer
    x = 71,827.54

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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.