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Finding the Fourth Proportional to 257,805.84, 386,664.15 and 68,268.93

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Solution

The fourth proportional to 257,805.84, 386,664.15 and 68,268.93 is: 102,391.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,805.84 : 386,664.15 = 68,268.93 : x
  2. Step 2: Convert to fraction form
    257,805.84/386,664.15 = 68,268.93/x
  3. Step 3: Cross multiply
    257,805.84x = 386,664.15 × 68,268.93
  4. Step 4: Simplify right side
    257,805.84x = 26,397,147,789.86
  5. Step 5: Solve for x
    x = 26,397,147,789.86/257,805.84
  6. Step 6: Final answer
    x = 102,391.58

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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.