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Finding the Fourth Proportional to 252,078, 347,874.96 and 138,908.04

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Solution

The fourth proportional to 252,078, 347,874.96 and 138,908.04 is: 191,697.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,078 : 347,874.96 = 138,908.04 : x
  2. Step 2: Convert to fraction form
    252,078/347,874.96 = 138,908.04/x
  3. Step 3: Cross multiply
    252,078x = 347,874.96 × 138,908.04
  4. Step 4: Simplify right side
    252,078x = 48,322,628,858.68
  5. Step 5: Solve for x
    x = 48,322,628,858.68/252,078
  6. Step 6: Final answer
    x = 191,697.13

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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.