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Finding the Fourth Proportional to 251,375.79, 376,983.56 and 82,864.71

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Solution

The fourth proportional to 251,375.79, 376,983.56 and 82,864.71 is: 124,270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,375.79 : 376,983.56 = 82,864.71 : x
  2. Step 2: Convert to fraction form
    251,375.79/376,983.56 = 82,864.71/x
  3. Step 3: Cross multiply
    251,375.79x = 376,983.56 × 82,864.71
  4. Step 4: Simplify right side
    251,375.79x = 31,238,631,546.16
  5. Step 5: Solve for x
    x = 31,238,631,546.16/251,375.79
  6. Step 6: Final answer
    x = 124,270.64

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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.