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Finding the Fourth Proportional to 257,963.97, 355,985.22 and 143,236.71

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Solution

The fourth proportional to 257,963.97, 355,985.22 and 143,236.71 is: 197,663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,963.97 : 355,985.22 = 143,236.71 : x
  2. Step 2: Convert to fraction form
    257,963.97/355,985.22 = 143,236.71/x
  3. Step 3: Cross multiply
    257,963.97x = 355,985.22 × 143,236.71
  4. Step 4: Simplify right side
    257,963.97x = 50,990,151,721.43
  5. Step 5: Solve for x
    x = 50,990,151,721.43/257,963.97
  6. Step 6: Final answer
    x = 197,663.85

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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.