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Finding the Fourth Proportional to 70,757.80, 106,136.70 and 47,138.20

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Solution

The fourth proportional to 70,757.80, 106,136.70 and 47,138.20 is: 70,707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,757.80 : 106,136.70 = 47,138.20 : x
  2. Step 2: Convert to fraction form
    70,757.80/106,136.70 = 47,138.20/x
  3. Step 3: Cross multiply
    70,757.80x = 106,136.70 × 47,138.20
  4. Step 4: Simplify right side
    70,757.80x = 5,003,092,991.94
  5. Step 5: Solve for x
    x = 5,003,092,991.94/70,757.80
  6. Step 6: Final answer
    x = 70,707.30

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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.