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Finding the Fourth Proportional to 87,581, 120,861.78 and 47,837

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Solution

The fourth proportional to 87,581, 120,861.78 and 47,837 is: 66,015.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,581 : 120,861.78 = 47,837 : x
  2. Step 2: Convert to fraction form
    87,581/120,861.78 = 47,837/x
  3. Step 3: Cross multiply
    87,581x = 120,861.78 × 47,837
  4. Step 4: Simplify right side
    87,581x = 5,781,664,969.86
  5. Step 5: Solve for x
    x = 5,781,664,969.86/87,581
  6. Step 6: Final answer
    x = 66,015.06

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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.