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Finding the Fourth Proportional to 70,910.31, 106,327.83 and 20,983.53

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Solution

The fourth proportional to 70,910.31, 106,327.83 and 20,983.53 is: 31,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,910.31 : 106,327.83 = 20,983.53 : x
  2. Step 2: Convert to fraction form
    70,910.31/106,327.83 = 20,983.53/x
  3. Step 3: Cross multiply
    70,910.31x = 106,327.83 × 20,983.53
  4. Step 4: Simplify right side
    70,910.31x = 2,231,133,210.64
  5. Step 5: Solve for x
    x = 2,231,133,210.64/70,910.31
  6. Step 6: Final answer
    x = 31,464.16

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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.