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Finding the Fourth Proportional to 252,010.60, 347,770.74 and 138,837.40

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Solution

The fourth proportional to 252,010.60, 347,770.74 and 138,837.40 is: 191,593.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,010.60 : 347,770.74 = 138,837.40 : x
  2. Step 2: Convert to fraction form
    252,010.60/347,770.74 = 138,837.40/x
  3. Step 3: Cross multiply
    252,010.60x = 347,770.74 × 138,837.40
  4. Step 4: Simplify right side
    252,010.60x = 48,283,585,337.68
  5. Step 5: Solve for x
    x = 48,283,585,337.68/252,010.60
  6. Step 6: Final answer
    x = 191,593.47

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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.