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Finding the Fourth Proportional to 257,836.82, 386,760.32 and 89,362.64

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Solution

The fourth proportional to 257,836.82, 386,760.32 and 89,362.64 is: 134,045.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,836.82 : 386,760.32 = 89,362.64 : x
  2. Step 2: Convert to fraction form
    257,836.82/386,760.32 = 89,362.64/x
  3. Step 3: Cross multiply
    257,836.82x = 386,760.32 × 89,362.64
  4. Step 4: Simplify right side
    257,836.82x = 34,561,924,097.64
  5. Step 5: Solve for x
    x = 34,561,924,097.64/257,836.82
  6. Step 6: Final answer
    x = 134,045.73

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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.