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Finding the Fourth Proportional to 252,114, 347,917.32 and 138,936.75

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Solution

The fourth proportional to 252,114, 347,917.32 and 138,936.75 is: 191,732.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,114 : 347,917.32 = 138,936.75 : x
  2. Step 2: Convert to fraction form
    252,114/347,917.32 = 138,936.75/x
  3. Step 3: Cross multiply
    252,114x = 347,917.32 × 138,936.75
  4. Step 4: Simplify right side
    252,114x = 48,338,501,709.51
  5. Step 5: Solve for x
    x = 48,338,501,709.51/252,114
  6. Step 6: Final answer
    x = 191,732.72

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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.