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Finding the Fourth Proportional to 257,600.96, 386,357.68 and 68,063.40

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Solution

The fourth proportional to 257,600.96, 386,357.68 and 68,063.40 is: 102,083.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,600.96 : 386,357.68 = 68,063.40 : x
  2. Step 2: Convert to fraction form
    257,600.96/386,357.68 = 68,063.40/x
  3. Step 3: Cross multiply
    257,600.96x = 386,357.68 × 68,063.40
  4. Step 4: Simplify right side
    257,600.96x = 26,296,817,316.91
  5. Step 5: Solve for x
    x = 26,296,817,316.91/257,600.96
  6. Step 6: Final answer
    x = 102,083.54

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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.