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Finding the Fourth Proportional to 71,242, 106,864.44 and 21,994

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Solution

The fourth proportional to 71,242, 106,864.44 and 21,994 is: 32,991.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,242 : 106,864.44 = 21,994 : x
  2. Step 2: Convert to fraction form
    71,242/106,864.44 = 21,994/x
  3. Step 3: Cross multiply
    71,242x = 106,864.44 × 21,994
  4. Step 4: Simplify right side
    71,242x = 2,350,376,493.36
  5. Step 5: Solve for x
    x = 2,350,376,493.36/71,242
  6. Step 6: Final answer
    x = 32,991.44

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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.