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Finding the Fourth Proportional to 257,493.43, 355,377.71 and 142,797.58

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Solution

The fourth proportional to 257,493.43, 355,377.71 and 142,797.58 is: 197,081.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,493.43 : 355,377.71 = 142,797.58 : x
  2. Step 2: Convert to fraction form
    257,493.43/355,377.71 = 142,797.58/x
  3. Step 3: Cross multiply
    257,493.43x = 355,377.71 × 142,797.58
  4. Step 4: Simplify right side
    257,493.43x = 50,747,076,973.94
  5. Step 5: Solve for x
    x = 50,747,076,973.94/257,493.43
  6. Step 6: Final answer
    x = 197,081.06

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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.