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Finding the Fourth Proportional to 74,161.87, 102,361.69 and 42,349.22

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Solution

The fourth proportional to 74,161.87, 102,361.69 and 42,349.22 is: 58,452.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,161.87 : 102,361.69 = 42,349.22 : x
  2. Step 2: Convert to fraction form
    74,161.87/102,361.69 = 42,349.22/x
  3. Step 3: Cross multiply
    74,161.87x = 102,361.69 × 42,349.22
  4. Step 4: Simplify right side
    74,161.87x = 4,334,937,729.38
  5. Step 5: Solve for x
    x = 4,334,937,729.38/74,161.87
  6. Step 6: Final answer
    x = 58,452.38

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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.