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Finding the Fourth Proportional to 70,834.36, 106,226.78 and 20,901.24

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Solution

The fourth proportional to 70,834.36, 106,226.78 and 20,901.24 is: 31,344.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,834.36 : 106,226.78 = 20,901.24 : x
  2. Step 2: Convert to fraction form
    70,834.36/106,226.78 = 20,901.24/x
  3. Step 3: Cross multiply
    70,834.36x = 106,226.78 × 20,901.24
  4. Step 4: Simplify right side
    70,834.36x = 2,220,271,423.21
  5. Step 5: Solve for x
    x = 2,220,271,423.21/70,834.36
  6. Step 6: Final answer
    x = 31,344.55

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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.