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Finding the Fourth Proportional to 70,843.17, 106,247.75 and 20,909.78

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Solution

The fourth proportional to 70,843.17, 106,247.75 and 20,909.78 is: 31,359.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,843.17 : 106,247.75 = 20,909.78 : x
  2. Step 2: Convert to fraction form
    70,843.17/106,247.75 = 20,909.78/x
  3. Step 3: Cross multiply
    70,843.17x = 106,247.75 × 20,909.78
  4. Step 4: Simplify right side
    70,843.17x = 2,221,616,442.21
  5. Step 5: Solve for x
    x = 2,221,616,442.21/70,843.17
  6. Step 6: Final answer
    x = 31,359.64

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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.