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Finding the Fourth Proportional to 87,577.75, 120,857.43 and 49,852

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Solution

The fourth proportional to 87,577.75, 120,857.43 and 49,852 is: 68,795.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,577.75 : 120,857.43 = 49,852 : x
  2. Step 2: Convert to fraction form
    87,577.75/120,857.43 = 49,852/x
  3. Step 3: Cross multiply
    87,577.75x = 120,857.43 × 49,852
  4. Step 4: Simplify right side
    87,577.75x = 6,024,984,600.36
  5. Step 5: Solve for x
    x = 6,024,984,600.36/87,577.75
  6. Step 6: Final answer
    x = 68,795.84

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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.