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Finding the Fourth Proportional to 257,371.63, 355,186.91 and 142,663.82

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Solution

The fourth proportional to 257,371.63, 355,186.91 and 142,663.82 is: 196,883.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,371.63 : 355,186.91 = 142,663.82 : x
  2. Step 2: Convert to fraction form
    257,371.63/355,186.91 = 142,663.82/x
  3. Step 3: Cross multiply
    257,371.63x = 355,186.91 × 142,663.82
  4. Step 4: Simplify right side
    257,371.63x = 50,672,321,273.15
  5. Step 5: Solve for x
    x = 50,672,321,273.15/257,371.63
  6. Step 6: Final answer
    x = 196,883.87

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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.