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Finding the Fourth Proportional to 257,354.24, 386,086.80 and 79,857.76

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Solution

The fourth proportional to 257,354.24, 386,086.80 and 79,857.76 is: 119,803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,354.24 : 386,086.80 = 79,857.76 : x
  2. Step 2: Convert to fraction form
    257,354.24/386,086.80 = 79,857.76/x
  3. Step 3: Cross multiply
    257,354.24x = 386,086.80 × 79,857.76
  4. Step 4: Simplify right side
    257,354.24x = 30,832,027,013.57
  5. Step 5: Solve for x
    x = 30,832,027,013.57/257,354.24
  6. Step 6: Final answer
    x = 119,803.84

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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.