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Finding the Fourth Proportional to 70,906.46, 106,359.38 and 20,986.76

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Solution

The fourth proportional to 70,906.46, 106,359.38 and 20,986.76 is: 31,480.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,906.46 : 106,359.38 = 20,986.76 : x
  2. Step 2: Convert to fraction form
    70,906.46/106,359.38 = 20,986.76/x
  3. Step 3: Cross multiply
    70,906.46x = 106,359.38 × 20,986.76
  4. Step 4: Simplify right side
    70,906.46x = 2,232,139,021.47
  5. Step 5: Solve for x
    x = 2,232,139,021.47/70,906.46
  6. Step 6: Final answer
    x = 31,480.05

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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.