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Finding the Fourth Proportional to 257,205.94, 386,057.40 and 124,179.64

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Solution

The fourth proportional to 257,205.94, 386,057.40 and 124,179.64 is: 186,389.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,205.94 : 386,057.40 = 124,179.64 : x
  2. Step 2: Convert to fraction form
    257,205.94/386,057.40 = 124,179.64/x
  3. Step 3: Cross multiply
    257,205.94x = 386,057.40 × 124,179.64
  4. Step 4: Simplify right side
    257,205.94x = 47,940,468,951.34
  5. Step 5: Solve for x
    x = 47,940,468,951.34/257,205.94
  6. Step 6: Final answer
    x = 186,389.43

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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.