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Finding the Fourth Proportional to 70,311.30, 105,463.89 and 20,390.31

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Solution

The fourth proportional to 70,311.30, 105,463.89 and 20,390.31 is: 30,584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,311.30 : 105,463.89 = 20,390.31 : x
  2. Step 2: Convert to fraction form
    70,311.30/105,463.89 = 20,390.31/x
  3. Step 3: Cross multiply
    70,311.30x = 105,463.89 × 20,390.31
  4. Step 4: Simplify right side
    70,311.30x = 2,150,441,410.91
  5. Step 5: Solve for x
    x = 2,150,441,410.91/70,311.30
  6. Step 6: Final answer
    x = 30,584.58

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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.