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Finding the Fourth Proportional to 70,815.66, 106,245.96 and 20,896

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Solution

The fourth proportional to 70,815.66, 106,245.96 and 20,896 is: 31,350.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,815.66 : 106,245.96 = 20,896 : x
  2. Step 2: Convert to fraction form
    70,815.66/106,245.96 = 20,896/x
  3. Step 3: Cross multiply
    70,815.66x = 106,245.96 × 20,896
  4. Step 4: Simplify right side
    70,815.66x = 2,220,115,580.16
  5. Step 5: Solve for x
    x = 2,220,115,580.16/70,815.66
  6. Step 6: Final answer
    x = 31,350.63

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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.