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Finding the Fourth Proportional to 257,933.22, 386,841.92 and 108,342.42

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Solution

The fourth proportional to 257,933.22, 386,841.92 and 108,342.42 is: 162,489.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,933.22 : 386,841.92 = 108,342.42 : x
  2. Step 2: Convert to fraction form
    257,933.22/386,841.92 = 108,342.42/x
  3. Step 3: Cross multiply
    257,933.22x = 386,841.92 × 108,342.42
  4. Step 4: Simplify right side
    257,933.22x = 41,911,389,228.53
  5. Step 5: Solve for x
    x = 41,911,389,228.53/257,933.22
  6. Step 6: Final answer
    x = 162,489.30

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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.