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Finding the Fourth Proportional to 252,096.30, 347,891.76 and 138,918.78

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Solution

The fourth proportional to 252,096.30, 347,891.76 and 138,918.78 is: 191,707.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,096.30 : 347,891.76 = 138,918.78 : x
  2. Step 2: Convert to fraction form
    252,096.30/347,891.76 = 138,918.78/x
  3. Step 3: Cross multiply
    252,096.30x = 347,891.76 × 138,918.78
  4. Step 4: Simplify right side
    252,096.30x = 48,328,698,871.25
  5. Step 5: Solve for x
    x = 48,328,698,871.25/252,096.30
  6. Step 6: Final answer
    x = 191,707.29

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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.