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Finding the Fourth Proportional to 257,794.96, 386,663.79 and 80,287.12

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Solution

The fourth proportional to 257,794.96, 386,663.79 and 80,287.12 is: 120,421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,794.96 : 386,663.79 = 80,287.12 : x
  2. Step 2: Convert to fraction form
    257,794.96/386,663.79 = 80,287.12/x
  3. Step 3: Cross multiply
    257,794.96x = 386,663.79 × 80,287.12
  4. Step 4: Simplify right side
    257,794.96x = 31,044,122,107.38
  5. Step 5: Solve for x
    x = 31,044,122,107.38/257,794.96
  6. Step 6: Final answer
    x = 120,421.76

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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.