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Finding the Fourth Proportional to 225,661.86, 338,720.64 and 99,358.38

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Solution

The fourth proportional to 225,661.86, 338,720.64 and 99,358.38 is: 149,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,661.86 : 338,720.64 = 99,358.38 : x
  2. Step 2: Convert to fraction form
    225,661.86/338,720.64 = 99,358.38/x
  3. Step 3: Cross multiply
    225,661.86x = 338,720.64 × 99,358.38
  4. Step 4: Simplify right side
    225,661.86x = 33,654,734,062.96
  5. Step 5: Solve for x
    x = 33,654,734,062.96/225,661.86
  6. Step 6: Final answer
    x = 149,137.89

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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.