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Finding the Fourth Proportional to 70,835.67, 106,236.50 and 20,902.28

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Solution

The fourth proportional to 70,835.67, 106,236.50 and 20,902.28 is: 31,348.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,835.67 : 106,236.50 = 20,902.28 : x
  2. Step 2: Convert to fraction form
    70,835.67/106,236.50 = 20,902.28/x
  3. Step 3: Cross multiply
    70,835.67x = 106,236.50 × 20,902.28
  4. Step 4: Simplify right side
    70,835.67x = 2,220,584,433.53
  5. Step 5: Solve for x
    x = 2,220,584,433.53/70,835.67
  6. Step 6: Final answer
    x = 31,348.39

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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.