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Finding the Fourth Proportional to 221,172.88, 331,747.80 and 71,410.36

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Solution

The fourth proportional to 221,172.88, 331,747.80 and 71,410.36 is: 107,111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,172.88 : 331,747.80 = 71,410.36 : x
  2. Step 2: Convert to fraction form
    221,172.88/331,747.80 = 71,410.36/x
  3. Step 3: Cross multiply
    221,172.88x = 331,747.80 × 71,410.36
  4. Step 4: Simplify right side
    221,172.88x = 23,690,229,827.21
  5. Step 5: Solve for x
    x = 23,690,229,827.21/221,172.88
  6. Step 6: Final answer
    x = 107,111.82

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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.