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Finding the Fourth Proportional to 257,765.25, 386,130.51 and 131,400.39

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Solution

The fourth proportional to 257,765.25, 386,130.51 and 131,400.39 is: 196,836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,765.25 : 386,130.51 = 131,400.39 : x
  2. Step 2: Convert to fraction form
    257,765.25/386,130.51 = 131,400.39/x
  3. Step 3: Cross multiply
    257,765.25x = 386,130.51 × 131,400.39
  4. Step 4: Simplify right side
    257,765.25x = 50,737,699,604.90
  5. Step 5: Solve for x
    x = 50,737,699,604.90/257,765.25
  6. Step 6: Final answer
    x = 196,836.85

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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.