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Finding the Fourth Proportional to 87,579, 120,861.90 and 47,835

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Solution

The fourth proportional to 87,579, 120,861.90 and 47,835 is: 66,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,579 : 120,861.90 = 47,835 : x
  2. Step 2: Convert to fraction form
    87,579/120,861.90 = 47,835/x
  3. Step 3: Cross multiply
    87,579x = 120,861.90 × 47,835
  4. Step 4: Simplify right side
    87,579x = 5,781,428,986.50
  5. Step 5: Solve for x
    x = 5,781,428,986.50/87,579
  6. Step 6: Final answer
    x = 66,013.87

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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.