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Finding the Fourth Proportional to 133,015.43, 199,410.78 and 61,901.38

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Solution

The fourth proportional to 133,015.43, 199,410.78 and 61,901.38 is: 92,799.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,015.43 : 199,410.78 = 61,901.38 : x
  2. Step 2: Convert to fraction form
    133,015.43/199,410.78 = 61,901.38/x
  3. Step 3: Cross multiply
    133,015.43x = 199,410.78 × 61,901.38
  4. Step 4: Simplify right side
    133,015.43x = 12,343,801,471.82
  5. Step 5: Solve for x
    x = 12,343,801,471.82/133,015.43
  6. Step 6: Final answer
    x = 92,799.77

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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.