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Finding the Fourth Proportional to 71,202.78, 106,820.37 and 37,905.30

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Solution

The fourth proportional to 71,202.78, 106,820.37 and 37,905.30 is: 56,866.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,202.78 : 106,820.37 = 37,905.30 : x
  2. Step 2: Convert to fraction form
    71,202.78/106,820.37 = 37,905.30/x
  3. Step 3: Cross multiply
    71,202.78x = 106,820.37 × 37,905.30
  4. Step 4: Simplify right side
    71,202.78x = 4,049,058,170.96
  5. Step 5: Solve for x
    x = 4,049,058,170.96/71,202.78
  6. Step 6: Final answer
    x = 56,866.57

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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.