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Finding the Fourth Proportional to 87,500, 120,756.48 and 49,786.40

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Solution

The fourth proportional to 87,500, 120,756.48 and 49,786.40 is: 68,708.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,500 : 120,756.48 = 49,786.40 : x
  2. Step 2: Convert to fraction form
    87,500/120,756.48 = 49,786.40/x
  3. Step 3: Cross multiply
    87,500x = 120,756.48 × 49,786.40
  4. Step 4: Simplify right side
    87,500x = 6,012,030,415.87
  5. Step 5: Solve for x
    x = 6,012,030,415.87/87,500
  6. Step 6: Final answer
    x = 68,708.92

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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.