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Finding the Fourth Proportional to 70,758.80, 106,138.20 and 47,139.20

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Solution

The fourth proportional to 70,758.80, 106,138.20 and 47,139.20 is: 70,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,758.80 : 106,138.20 = 47,139.20 : x
  2. Step 2: Convert to fraction form
    70,758.80/106,138.20 = 47,139.20/x
  3. Step 3: Cross multiply
    70,758.80x = 106,138.20 × 47,139.20
  4. Step 4: Simplify right side
    70,758.80x = 5,003,269,837.44
  5. Step 5: Solve for x
    x = 5,003,269,837.44/70,758.80
  6. Step 6: Final answer
    x = 70,708.80

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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.