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Finding the Fourth Proportional to 50,365.38, 75,847.85 and 43,870

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Solution

The fourth proportional to 50,365.38, 75,847.85 and 43,870 is: 66,066.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,365.38 : 75,847.85 = 43,870 : x
  2. Step 2: Convert to fraction form
    50,365.38/75,847.85 = 43,870/x
  3. Step 3: Cross multiply
    50,365.38x = 75,847.85 × 43,870
  4. Step 4: Simplify right side
    50,365.38x = 3,327,445,179.50
  5. Step 5: Solve for x
    x = 3,327,445,179.50/50,365.38
  6. Step 6: Final answer
    x = 66,066.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.