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Finding the Fourth Proportional to 82,224.32, 123,262.66 and 68,274

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Solution

The fourth proportional to 82,224.32, 123,262.66 and 68,274 is: 102,349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,224.32 : 123,262.66 = 68,274 : x
  2. Step 2: Convert to fraction form
    82,224.32/123,262.66 = 68,274/x
  3. Step 3: Cross multiply
    82,224.32x = 123,262.66 × 68,274
  4. Step 4: Simplify right side
    82,224.32x = 8,415,634,848.84
  5. Step 5: Solve for x
    x = 8,415,634,848.84/82,224.32
  6. Step 6: Final answer
    x = 102,349.70

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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.