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Finding the Fourth Proportional to 257,640.39, 355,543.41 and 142,936.43

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Solution

The fourth proportional to 257,640.39, 355,543.41 and 142,936.43 is: 197,252.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,640.39 : 355,543.41 = 142,936.43 : x
  2. Step 2: Convert to fraction form
    257,640.39/355,543.41 = 142,936.43/x
  3. Step 3: Cross multiply
    257,640.39x = 355,543.41 × 142,936.43
  4. Step 4: Simplify right side
    257,640.39x = 50,820,103,965.45
  5. Step 5: Solve for x
    x = 50,820,103,965.45/257,640.39
  6. Step 6: Final answer
    x = 197,252.08

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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.