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Finding the Fourth Proportional to 49,142.52, 73,742.35 and 20,677.39

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Solution

The fourth proportional to 49,142.52, 73,742.35 and 20,677.39 is: 31,028.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,142.52 : 73,742.35 = 20,677.39 : x
  2. Step 2: Convert to fraction form
    49,142.52/73,742.35 = 20,677.39/x
  3. Step 3: Cross multiply
    49,142.52x = 73,742.35 × 20,677.39
  4. Step 4: Simplify right side
    49,142.52x = 1,524,799,278.77
  5. Step 5: Solve for x
    x = 1,524,799,278.77/49,142.52
  6. Step 6: Final answer
    x = 31,028.10

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