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Finding the Fourth Proportional to 252,113.25, 347,916.29 and 138,936

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Solution

The fourth proportional to 252,113.25, 347,916.29 and 138,936 is: 191,731.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,113.25 : 347,916.29 = 138,936 : x
  2. Step 2: Convert to fraction form
    252,113.25/347,916.29 = 138,936/x
  3. Step 3: Cross multiply
    252,113.25x = 347,916.29 × 138,936
  4. Step 4: Simplify right side
    252,113.25x = 48,338,097,667.44
  5. Step 5: Solve for x
    x = 48,338,097,667.44/252,113.25
  6. Step 6: Final answer
    x = 191,731.68

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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.