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Finding the Fourth Proportional to 221,232.75, 331,820.88 and 71,457.48

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Solution

The fourth proportional to 221,232.75, 331,820.88 and 71,457.48 is: 107,177.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,232.75 : 331,820.88 = 71,457.48 : x
  2. Step 2: Convert to fraction form
    221,232.75/331,820.88 = 71,457.48/x
  3. Step 3: Cross multiply
    221,232.75x = 331,820.88 × 71,457.48
  4. Step 4: Simplify right side
    221,232.75x = 23,711,083,896.18
  5. Step 5: Solve for x
    x = 23,711,083,896.18/221,232.75
  6. Step 6: Final answer
    x = 107,177.10

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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.