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Finding the Fourth Proportional to 257,678.82, 386,513.51 and 105,843.65

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Solution

The fourth proportional to 257,678.82, 386,513.51 and 105,843.65 is: 158,763.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,678.82 : 386,513.51 = 105,843.65 : x
  2. Step 2: Convert to fraction form
    257,678.82/386,513.51 = 105,843.65/x
  3. Step 3: Cross multiply
    257,678.82x = 386,513.51 × 105,843.65
  4. Step 4: Simplify right side
    257,678.82x = 40,909,998,210.93
  5. Step 5: Solve for x
    x = 40,909,998,210.93/257,678.82
  6. Step 6: Final answer
    x = 158,763.53

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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.