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Finding the Fourth Proportional to 251,008, 376,432.16 and 82,489.44

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Solution

The fourth proportional to 251,008, 376,432.16 and 82,489.44 is: 123,707.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,008 : 376,432.16 = 82,489.44 : x
  2. Step 2: Convert to fraction form
    251,008/376,432.16 = 82,489.44/x
  3. Step 3: Cross multiply
    251,008x = 376,432.16 × 82,489.44
  4. Step 4: Simplify right side
    251,008x = 31,051,678,076.39
  5. Step 5: Solve for x
    x = 31,051,678,076.39/251,008
  6. Step 6: Final answer
    x = 123,707.92

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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.