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Finding the Fourth Proportional to 70,704.88, 106,031.34 and 20,772.16

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Solution

The fourth proportional to 70,704.88, 106,031.34 and 20,772.16 is: 31,150.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,704.88 : 106,031.34 = 20,772.16 : x
  2. Step 2: Convert to fraction form
    70,704.88/106,031.34 = 20,772.16/x
  3. Step 3: Cross multiply
    70,704.88x = 106,031.34 × 20,772.16
  4. Step 4: Simplify right side
    70,704.88x = 2,202,499,959.49
  5. Step 5: Solve for x
    x = 2,202,499,959.49/70,704.88
  6. Step 6: Final answer
    x = 31,150.61

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1.5x scale

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.