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Finding the Fourth Proportional to 87,497.74, 120,745.83 and 49,771.90

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Solution

The fourth proportional to 87,497.74, 120,745.83 and 49,771.90 is: 68,684.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,497.74 : 120,745.83 = 49,771.90 : x
  2. Step 2: Convert to fraction form
    87,497.74/120,745.83 = 49,771.90/x
  3. Step 3: Cross multiply
    87,497.74x = 120,745.83 × 49,771.90
  4. Step 4: Simplify right side
    87,497.74x = 6,009,749,376.18
  5. Step 5: Solve for x
    x = 6,009,749,376.18/87,497.74
  6. Step 6: Final answer
    x = 68,684.62

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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.