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Finding the Fourth Proportional to 129,963.92, 194,945.52 and 106,344.32

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Solution

The fourth proportional to 129,963.92, 194,945.52 and 106,344.32 is: 159,516.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,963.92 : 194,945.52 = 106,344.32 : x
  2. Step 2: Convert to fraction form
    129,963.92/194,945.52 = 106,344.32/x
  3. Step 3: Cross multiply
    129,963.92x = 194,945.52 × 106,344.32
  4. Step 4: Simplify right side
    129,963.92x = 20,731,348,761.45
  5. Step 5: Solve for x
    x = 20,731,348,761.45/129,963.92
  6. Step 6: Final answer
    x = 159,516.19

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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.