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Finding the Fourth Proportional to 156,749.20, 235,123.80 and 134,198.80

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Solution

The fourth proportional to 156,749.20, 235,123.80 and 134,198.80 is: 201,298.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,749.20 : 235,123.80 = 134,198.80 : x
  2. Step 2: Convert to fraction form
    156,749.20/235,123.80 = 134,198.80/x
  3. Step 3: Cross multiply
    156,749.20x = 235,123.80 × 134,198.80
  4. Step 4: Simplify right side
    156,749.20x = 31,553,331,811.44
  5. Step 5: Solve for x
    x = 31,553,331,811.44/156,749.20
  6. Step 6: Final answer
    x = 201,298.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.