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Finding the Fourth Proportional to 252,099.75, 347,901.30 and 138,922.50

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Solution

The fourth proportional to 252,099.75, 347,901.30 and 138,922.50 is: 191,715.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,099.75 : 347,901.30 = 138,922.50 : x
  2. Step 2: Convert to fraction form
    252,099.75/347,901.30 = 138,922.50/x
  3. Step 3: Cross multiply
    252,099.75x = 347,901.30 × 138,922.50
  4. Step 4: Simplify right side
    252,099.75x = 48,331,318,349.25
  5. Step 5: Solve for x
    x = 48,331,318,349.25/252,099.75
  6. Step 6: Final answer
    x = 191,715.06

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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.