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Finding the Fourth Proportional to 140,759.92, 194,253.24 and 87,027.76

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Solution

The fourth proportional to 140,759.92, 194,253.24 and 87,027.76 is: 120,101.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,759.92 : 194,253.24 = 87,027.76 : x
  2. Step 2: Convert to fraction form
    140,759.92/194,253.24 = 87,027.76/x
  3. Step 3: Cross multiply
    140,759.92x = 194,253.24 × 87,027.76
  4. Step 4: Simplify right side
    140,759.92x = 16,905,424,349.94
  5. Step 5: Solve for x
    x = 16,905,424,349.94/140,759.92
  6. Step 6: Final answer
    x = 120,101.12

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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.