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Finding the Fourth Proportional to 138,800.70, 208,201.05 and 75,815.10

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Solution

The fourth proportional to 138,800.70, 208,201.05 and 75,815.10 is: 113,722.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,800.70 : 208,201.05 = 75,815.10 : x
  2. Step 2: Convert to fraction form
    138,800.70/208,201.05 = 75,815.10/x
  3. Step 3: Cross multiply
    138,800.70x = 208,201.05 × 75,815.10
  4. Step 4: Simplify right side
    138,800.70x = 15,784,783,425.86
  5. Step 5: Solve for x
    x = 15,784,783,425.86/138,800.70
  6. Step 6: Final answer
    x = 113,722.65

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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.