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Finding the Fourth Proportional to 257,896.08, 386,799.84 and 68,358.24

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Solution

The fourth proportional to 257,896.08, 386,799.84 and 68,358.24 is: 102,525.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,896.08 : 386,799.84 = 68,358.24 : x
  2. Step 2: Convert to fraction form
    257,896.08/386,799.84 = 68,358.24/x
  3. Step 3: Cross multiply
    257,896.08x = 386,799.84 × 68,358.24
  4. Step 4: Simplify right side
    257,896.08x = 26,440,956,294.68
  5. Step 5: Solve for x
    x = 26,440,956,294.68/257,896.08
  6. Step 6: Final answer
    x = 102,525.62

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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.