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Finding the Fourth Proportional to 71,202.72, 106,720.22 and 29,056.50

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Solution

The fourth proportional to 71,202.72, 106,720.22 and 29,056.50 is: 43,550.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,202.72 : 106,720.22 = 29,056.50 : x
  2. Step 2: Convert to fraction form
    71,202.72/106,720.22 = 29,056.50/x
  3. Step 3: Cross multiply
    71,202.72x = 106,720.22 × 29,056.50
  4. Step 4: Simplify right side
    71,202.72x = 3,100,916,072.43
  5. Step 5: Solve for x
    x = 3,100,916,072.43/71,202.72
  6. Step 6: Final answer
    x = 43,550.53

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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.