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Finding the Fourth Proportional to 252,086.76, 347,887.16 and 138,916.80

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Solution

The fourth proportional to 252,086.76, 347,887.16 and 138,916.80 is: 191,709.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,086.76 : 347,887.16 = 138,916.80 : x
  2. Step 2: Convert to fraction form
    252,086.76/347,887.16 = 138,916.80/x
  3. Step 3: Cross multiply
    252,086.76x = 347,887.16 × 138,916.80
  4. Step 4: Simplify right side
    252,086.76x = 48,327,371,028.29
  5. Step 5: Solve for x
    x = 48,327,371,028.29/252,086.76
  6. Step 6: Final answer
    x = 191,709.28

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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.