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Finding the Fourth Proportional to 55,771.62, 83,712.11 and 40,938.50

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Solution

The fourth proportional to 55,771.62, 83,712.11 and 40,938.50 is: 61,447.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,771.62 : 83,712.11 = 40,938.50 : x
  2. Step 2: Convert to fraction form
    55,771.62/83,712.11 = 40,938.50/x
  3. Step 3: Cross multiply
    55,771.62x = 83,712.11 × 40,938.50
  4. Step 4: Simplify right side
    55,771.62x = 3,427,047,591.98
  5. Step 5: Solve for x
    x = 3,427,047,591.98/55,771.62
  6. Step 6: Final answer
    x = 61,447.88

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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.