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Finding the Fourth Proportional to 257,854.62, 355,845.51 and 144,685.74

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Solution

The fourth proportional to 257,854.62, 355,845.51 and 144,685.74 is: 199,669.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,854.62 : 355,845.51 = 144,685.74 : x
  2. Step 2: Convert to fraction form
    257,854.62/355,845.51 = 144,685.74/x
  3. Step 3: Cross multiply
    257,854.62x = 355,845.51 × 144,685.74
  4. Step 4: Simplify right side
    257,854.62x = 51,485,770,940.03
  5. Step 5: Solve for x
    x = 51,485,770,940.03/257,854.62
  6. Step 6: Final answer
    x = 199,669.76

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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.