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Finding the Fourth Proportional to 48,721.88, 73,082.81 and 11,785.88

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Solution

The fourth proportional to 48,721.88, 73,082.81 and 11,785.88 is: 17,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,721.88 : 73,082.81 = 11,785.88 : x
  2. Step 2: Convert to fraction form
    48,721.88/73,082.81 = 11,785.88/x
  3. Step 3: Cross multiply
    48,721.88x = 73,082.81 × 11,785.88
  4. Step 4: Simplify right side
    48,721.88x = 861,344,892.77
  5. Step 5: Solve for x
    x = 861,344,892.77/48,721.88
  6. Step 6: Final answer
    x = 17,678.81

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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.