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Finding the Fourth Proportional to 45,171.84, 67,761.95 and 11,892.05

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Solution

The fourth proportional to 45,171.84, 67,761.95 and 11,892.05 is: 17,839.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,171.84 : 67,761.95 = 11,892.05 : x
  2. Step 2: Convert to fraction form
    45,171.84/67,761.95 = 11,892.05/x
  3. Step 3: Cross multiply
    45,171.84x = 67,761.95 × 11,892.05
  4. Step 4: Simplify right side
    45,171.84x = 805,828,099.23
  5. Step 5: Solve for x
    x = 805,828,099.23/45,171.84
  6. Step 6: Final answer
    x = 17,839.17

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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.