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Finding the Fourth Proportional to 85,471.73, 128,105.19 and 39,817.91

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Solution

The fourth proportional to 85,471.73, 128,105.19 and 39,817.91 is: 59,679.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,471.73 : 128,105.19 = 39,817.91 : x
  2. Step 2: Convert to fraction form
    85,471.73/128,105.19 = 39,817.91/x
  3. Step 3: Cross multiply
    85,471.73x = 128,105.19 × 39,817.91
  4. Step 4: Simplify right side
    85,471.73x = 5,100,880,285.43
  5. Step 5: Solve for x
    x = 5,100,880,285.43/85,471.73
  6. Step 6: Final answer
    x = 59,679.15

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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.