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Finding the Fourth Proportional to 70,102.94, 105,138.68 and 20,171.90

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Solution

The fourth proportional to 70,102.94, 105,138.68 and 20,171.90 is: 30,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,102.94 : 105,138.68 = 20,171.90 : x
  2. Step 2: Convert to fraction form
    70,102.94/105,138.68 = 20,171.90/x
  3. Step 3: Cross multiply
    70,102.94x = 105,138.68 × 20,171.90
  4. Step 4: Simplify right side
    70,102.94x = 2,120,846,939.09
  5. Step 5: Solve for x
    x = 2,120,846,939.09/70,102.94
  6. Step 6: Final answer
    x = 30,253.32

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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.