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Finding the Fourth Proportional to 227,404.08, 313,806 and 126,782.64

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Solution

The fourth proportional to 227,404.08, 313,806 and 126,782.64 is: 174,953.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,404.08 : 313,806 = 126,782.64 : x
  2. Step 2: Convert to fraction form
    227,404.08/313,806 = 126,782.64/x
  3. Step 3: Cross multiply
    227,404.08x = 313,806 × 126,782.64
  4. Step 4: Simplify right side
    227,404.08x = 39,785,153,127.84
  5. Step 5: Solve for x
    x = 39,785,153,127.84/227,404.08
  6. Step 6: Final answer
    x = 174,953.56

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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.