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Finding the Fourth Proportional to 257,733, 386,204.85 and 107,891.64

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Solution

The fourth proportional to 257,733, 386,204.85 and 107,891.64 is: 161,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,733 : 386,204.85 = 107,891.64 : x
  2. Step 2: Convert to fraction form
    257,733/386,204.85 = 107,891.64/x
  3. Step 3: Cross multiply
    257,733x = 386,204.85 × 107,891.64
  4. Step 4: Simplify right side
    257,733x = 41,668,274,642.45
  5. Step 5: Solve for x
    x = 41,668,274,642.45/257,733
  6. Step 6: Final answer
    x = 161,672.25

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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.