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Finding the Fourth Proportional to 257,650.02, 386,080.89 and 137,724.03

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Solution

The fourth proportional to 257,650.02, 386,080.89 and 137,724.03 is: 206,375.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,650.02 : 386,080.89 = 137,724.03 : x
  2. Step 2: Convert to fraction form
    257,650.02/386,080.89 = 137,724.03/x
  3. Step 3: Cross multiply
    257,650.02x = 386,080.89 × 137,724.03
  4. Step 4: Simplify right side
    257,650.02x = 53,172,616,076.79
  5. Step 5: Solve for x
    x = 53,172,616,076.79/257,650.02
  6. Step 6: Final answer
    x = 206,375.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.