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Finding the Fourth Proportional to 31,203.50, 43,061.01 and 20,025.50

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Solution

The fourth proportional to 31,203.50, 43,061.01 and 20,025.50 is: 27,635.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,203.50 : 43,061.01 = 20,025.50 : x
  2. Step 2: Convert to fraction form
    31,203.50/43,061.01 = 20,025.50/x
  3. Step 3: Cross multiply
    31,203.50x = 43,061.01 × 20,025.50
  4. Step 4: Simplify right side
    31,203.50x = 862,318,255.76
  5. Step 5: Solve for x
    x = 862,318,255.76/31,203.50
  6. Step 6: Final answer
    x = 27,635.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.