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Finding the Fourth Proportional to 87,717, 121,052.34 and 47,973

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Solution

The fourth proportional to 87,717, 121,052.34 and 47,973 is: 66,204.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,717 : 121,052.34 = 47,973 : x
  2. Step 2: Convert to fraction form
    87,717/121,052.34 = 47,973/x
  3. Step 3: Cross multiply
    87,717x = 121,052.34 × 47,973
  4. Step 4: Simplify right side
    87,717x = 5,807,243,906.82
  5. Step 5: Solve for x
    x = 5,807,243,906.82/87,717
  6. Step 6: Final answer
    x = 66,204.32

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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.