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Finding the Fourth Proportional to 202,419.81, 279,059.99 and 145,105.83

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Solution

The fourth proportional to 202,419.81, 279,059.99 and 145,105.83 is: 200,045.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,419.81 : 279,059.99 = 145,105.83 : x
  2. Step 2: Convert to fraction form
    202,419.81/279,059.99 = 145,105.83/x
  3. Step 3: Cross multiply
    202,419.81x = 279,059.99 × 145,105.83
  4. Step 4: Simplify right side
    202,419.81x = 40,493,230,743.21
  5. Step 5: Solve for x
    x = 40,493,230,743.21/202,419.81
  6. Step 6: Final answer
    x = 200,045.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.