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Finding the Fourth Proportional to 70,816.79, 106,243.41 and 20,894.87

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Solution

The fourth proportional to 70,816.79, 106,243.41 and 20,894.87 is: 31,347.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,816.79 : 106,243.41 = 20,894.87 : x
  2. Step 2: Convert to fraction form
    70,816.79/106,243.41 = 20,894.87/x
  3. Step 3: Cross multiply
    70,816.79x = 106,243.41 × 20,894.87
  4. Step 4: Simplify right side
    70,816.79x = 2,219,942,240.31
  5. Step 5: Solve for x
    x = 2,219,942,240.31/70,816.79
  6. Step 6: Final answer
    x = 31,347.68

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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.