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Finding the Fourth Proportional to 257,651.70, 386,504.06 and 89,171.73

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Solution

The fourth proportional to 257,651.70, 386,504.06 and 89,171.73 is: 133,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,651.70 : 386,504.06 = 89,171.73 : x
  2. Step 2: Convert to fraction form
    257,651.70/386,504.06 = 89,171.73/x
  3. Step 3: Cross multiply
    257,651.70x = 386,504.06 × 89,171.73
  4. Step 4: Simplify right side
    257,651.70x = 34,465,235,682.22
  5. Step 5: Solve for x
    x = 34,465,235,682.22/257,651.70
  6. Step 6: Final answer
    x = 133,766.77

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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.