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Finding the Fourth Proportional to 257,758.61, 386,664.03 and 89,278.61

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Solution

The fourth proportional to 257,758.61, 386,664.03 and 89,278.61 is: 133,926.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,758.61 : 386,664.03 = 89,278.61 : x
  2. Step 2: Convert to fraction form
    257,758.61/386,664.03 = 89,278.61/x
  3. Step 3: Cross multiply
    257,758.61x = 386,664.03 × 89,278.61
  4. Step 4: Simplify right side
    257,758.61x = 34,520,825,202.08
  5. Step 5: Solve for x
    x = 34,520,825,202.08/257,758.61
  6. Step 6: Final answer
    x = 133,926.96

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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.