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Finding the Fourth Proportional to 70,896.30, 106,344.44 and 20,972.50

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Solution

The fourth proportional to 70,896.30, 106,344.44 and 20,972.50 is: 31,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,896.30 : 106,344.44 = 20,972.50 : x
  2. Step 2: Convert to fraction form
    70,896.30/106,344.44 = 20,972.50/x
  3. Step 3: Cross multiply
    70,896.30x = 106,344.44 × 20,972.50
  4. Step 4: Simplify right side
    70,896.30x = 2,230,308,767.90
  5. Step 5: Solve for x
    x = 2,230,308,767.90/70,896.30
  6. Step 6: Final answer
    x = 31,458.75

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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.