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Finding the Fourth Proportional to 40,777, 61,140.92 and 18,283.60

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Solution

The fourth proportional to 40,777, 61,140.92 and 18,283.60 is: 27,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,777 : 61,140.92 = 18,283.60 : x
  2. Step 2: Convert to fraction form
    40,777/61,140.92 = 18,283.60/x
  3. Step 3: Cross multiply
    40,777x = 61,140.92 × 18,283.60
  4. Step 4: Simplify right side
    40,777x = 1,117,876,124.91
  5. Step 5: Solve for x
    x = 1,117,876,124.91/40,777
  6. Step 6: Final answer
    x = 27,414.38

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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.