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Finding the Fourth Proportional to 70,894.48, 106,359.92 and 20,972.56

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Solution

The fourth proportional to 70,894.48, 106,359.92 and 20,972.56 is: 31,464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,894.48 : 106,359.92 = 20,972.56 : x
  2. Step 2: Convert to fraction form
    70,894.48/106,359.92 = 20,972.56/x
  3. Step 3: Cross multiply
    70,894.48x = 106,359.92 × 20,972.56
  4. Step 4: Simplify right side
    70,894.48x = 2,230,639,803.80
  5. Step 5: Solve for x
    x = 2,230,639,803.80/70,894.48
  6. Step 6: Final answer
    x = 31,464.22

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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.