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Finding the Fourth Proportional to 87,580.50, 120,861.57 and 47,836.50

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Solution

The fourth proportional to 87,580.50, 120,861.57 and 47,836.50 is: 66,014.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,580.50 : 120,861.57 = 47,836.50 : x
  2. Step 2: Convert to fraction form
    87,580.50/120,861.57 = 47,836.50/x
  3. Step 3: Cross multiply
    87,580.50x = 120,861.57 × 47,836.50
  4. Step 4: Simplify right side
    87,580.50x = 5,781,594,493.31
  5. Step 5: Solve for x
    x = 5,781,594,493.31/87,580.50
  6. Step 6: Final answer
    x = 66,014.63

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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.