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Finding the Fourth Proportional to 40,847, 61,285.10 and 20,085.08

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Solution

The fourth proportional to 40,847, 61,285.10 and 20,085.08 is: 30,134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,847 : 61,285.10 = 20,085.08 : x
  2. Step 2: Convert to fraction form
    40,847/61,285.10 = 20,085.08/x
  3. Step 3: Cross multiply
    40,847x = 61,285.10 × 20,085.08
  4. Step 4: Simplify right side
    40,847x = 1,230,916,136.31
  5. Step 5: Solve for x
    x = 1,230,916,136.31/40,847
  6. Step 6: Final answer
    x = 30,134.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.