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Finding the Fourth Proportional to 251,186.68, 376,638 and 82,661.47

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Solution

The fourth proportional to 251,186.68, 376,638 and 82,661.47 is: 123,945.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,186.68 : 376,638 = 82,661.47 : x
  2. Step 2: Convert to fraction form
    251,186.68/376,638 = 82,661.47/x
  3. Step 3: Cross multiply
    251,186.68x = 376,638 × 82,661.47
  4. Step 4: Simplify right side
    251,186.68x = 31,133,450,737.86
  5. Step 5: Solve for x
    x = 31,133,450,737.86/251,186.68
  6. Step 6: Final answer
    x = 123,945.47

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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.