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Finding the Fourth Proportional to 130,083.30, 194,979.15 and 55,190.70

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Solution

The fourth proportional to 130,083.30, 194,979.15 and 55,190.70 is: 82,724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,083.30 : 194,979.15 = 55,190.70 : x
  2. Step 2: Convert to fraction form
    130,083.30/194,979.15 = 55,190.70/x
  3. Step 3: Cross multiply
    130,083.30x = 194,979.15 × 55,190.70
  4. Step 4: Simplify right side
    130,083.30x = 10,761,035,773.91
  5. Step 5: Solve for x
    x = 10,761,035,773.91/130,083.30
  6. Step 6: Final answer
    x = 82,724.19

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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.