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Finding the Fourth Proportional to 252,099, 347,896.62 and 138,921.75

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Solution

The fourth proportional to 252,099, 347,896.62 and 138,921.75 is: 191,712.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,099 : 347,896.62 = 138,921.75 : x
  2. Step 2: Convert to fraction form
    252,099/347,896.62 = 138,921.75/x
  3. Step 3: Cross multiply
    252,099x = 347,896.62 × 138,921.75
  4. Step 4: Simplify right side
    252,099x = 48,330,407,269.49
  5. Step 5: Solve for x
    x = 48,330,407,269.49/252,099
  6. Step 6: Final answer
    x = 191,712.02

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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.