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Finding the Fourth Proportional to 257,905.62, 386,813.88 and 68,367.24

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Solution

The fourth proportional to 257,905.62, 386,813.88 and 68,367.24 is: 102,539.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,905.62 : 386,813.88 = 68,367.24 : x
  2. Step 2: Convert to fraction form
    257,905.62/386,813.88 = 68,367.24/x
  3. Step 3: Cross multiply
    257,905.62x = 386,813.88 × 68,367.24
  4. Step 4: Simplify right side
    257,905.62x = 26,445,397,369.29
  5. Step 5: Solve for x
    x = 26,445,397,369.29/257,905.62
  6. Step 6: Final answer
    x = 102,539.05

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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.