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Finding the Fourth Proportional to 257,859.76, 386,523.56 and 108,186.96

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Solution

The fourth proportional to 257,859.76, 386,523.56 and 108,186.96 is: 162,168.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,859.76 : 386,523.56 = 108,186.96 : x
  2. Step 2: Convert to fraction form
    257,859.76/386,523.56 = 108,186.96/x
  3. Step 3: Cross multiply
    257,859.76x = 386,523.56 × 108,186.96
  4. Step 4: Simplify right side
    257,859.76x = 41,816,808,924.78
  5. Step 5: Solve for x
    x = 41,816,808,924.78/257,859.76
  6. Step 6: Final answer
    x = 162,168.80

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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.