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Finding the Fourth Proportional to 87,881.82, 131,821.47 and 21,322.50

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Solution

The fourth proportional to 87,881.82, 131,821.47 and 21,322.50 is: 31,983.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,881.82 : 131,821.47 = 21,322.50 : x
  2. Step 2: Convert to fraction form
    87,881.82/131,821.47 = 21,322.50/x
  3. Step 3: Cross multiply
    87,881.82x = 131,821.47 × 21,322.50
  4. Step 4: Simplify right side
    87,881.82x = 2,810,763,294.08
  5. Step 5: Solve for x
    x = 2,810,763,294.08/87,881.82
  6. Step 6: Final answer
    x = 31,983.44

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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.