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Finding the Fourth Proportional to 257,358.24, 386,092.80 and 79,861.76

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Solution

The fourth proportional to 257,358.24, 386,092.80 and 79,861.76 is: 119,809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,358.24 : 386,092.80 = 79,861.76 : x
  2. Step 2: Convert to fraction form
    257,358.24/386,092.80 = 79,861.76/x
  3. Step 3: Cross multiply
    257,358.24x = 386,092.80 × 79,861.76
  4. Step 4: Simplify right side
    257,358.24x = 30,834,050,531.33
  5. Step 5: Solve for x
    x = 30,834,050,531.33/257,358.24
  6. Step 6: Final answer
    x = 119,809.84

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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.