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Finding the Fourth Proportional to 70,906.27, 106,359.10 and 20,986.58

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Solution

The fourth proportional to 70,906.27, 106,359.10 and 20,986.58 is: 31,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,906.27 : 106,359.10 = 20,986.58 : x
  2. Step 2: Convert to fraction form
    70,906.27/106,359.10 = 20,986.58/x
  3. Step 3: Cross multiply
    70,906.27x = 106,359.10 × 20,986.58
  4. Step 4: Simplify right side
    70,906.27x = 2,232,113,124.15
  5. Step 5: Solve for x
    x = 2,232,113,124.15/70,906.27
  6. Step 6: Final answer
    x = 31,479.77

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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.