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Finding the Fourth Proportional to 252,112.50, 347,915.25 and 138,935.25

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Solution

The fourth proportional to 252,112.50, 347,915.25 and 138,935.25 is: 191,730.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,112.50 : 347,915.25 = 138,935.25 : x
  2. Step 2: Convert to fraction form
    252,112.50/347,915.25 = 138,935.25/x
  3. Step 3: Cross multiply
    252,112.50x = 347,915.25 × 138,935.25
  4. Step 4: Simplify right side
    252,112.50x = 48,337,692,237.56
  5. Step 5: Solve for x
    x = 48,337,692,237.56/252,112.50
  6. Step 6: Final answer
    x = 191,730.65

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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.