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Finding the Fourth Proportional to 131,811, 197,719.83 and 47,578.38

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Solution

The fourth proportional to 131,811, 197,719.83 and 47,578.38 is: 71,368.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,811 : 197,719.83 = 47,578.38 : x
  2. Step 2: Convert to fraction form
    131,811/197,719.83 = 47,578.38/x
  3. Step 3: Cross multiply
    131,811x = 197,719.83 × 47,578.38
  4. Step 4: Simplify right side
    131,811x = 9,407,189,205.28
  5. Step 5: Solve for x
    x = 9,407,189,205.28/131,811
  6. Step 6: Final answer
    x = 71,368.77

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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.