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Finding the Fourth Proportional to 257,896.73, 355,881.09 and 143,177.65

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Solution

The fourth proportional to 257,896.73, 355,881.09 and 143,177.65 is: 197,576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,896.73 : 355,881.09 = 143,177.65 : x
  2. Step 2: Convert to fraction form
    257,896.73/355,881.09 = 143,177.65/x
  3. Step 3: Cross multiply
    257,896.73x = 355,881.09 × 143,177.65
  4. Step 4: Simplify right side
    257,896.73x = 50,954,217,255.94
  5. Step 5: Solve for x
    x = 50,954,217,255.94/257,896.73
  6. Step 6: Final answer
    x = 197,576.05

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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.