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Finding the Fourth Proportional to 59,414.50, 81,961.34 and 40,287.80

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Solution

The fourth proportional to 59,414.50, 81,961.34 and 40,287.80 is: 55,576.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,414.50 : 81,961.34 = 40,287.80 : x
  2. Step 2: Convert to fraction form
    59,414.50/81,961.34 = 40,287.80/x
  3. Step 3: Cross multiply
    59,414.50x = 81,961.34 × 40,287.80
  4. Step 4: Simplify right side
    59,414.50x = 3,302,041,462.41
  5. Step 5: Solve for x
    x = 3,302,041,462.41/59,414.50
  6. Step 6: Final answer
    x = 55,576.36

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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.