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Finding the Fourth Proportional to 102,785.72, 154,216.44 and 73,434.56

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Solution

The fourth proportional to 102,785.72, 154,216.44 and 73,434.56 is: 110,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,785.72 : 154,216.44 = 73,434.56 : x
  2. Step 2: Convert to fraction form
    102,785.72/154,216.44 = 73,434.56/x
  3. Step 3: Cross multiply
    102,785.72x = 154,216.44 × 73,434.56
  4. Step 4: Simplify right side
    102,785.72x = 11,324,816,416.17
  5. Step 5: Solve for x
    x = 11,324,816,416.17/102,785.72
  6. Step 6: Final answer
    x = 110,178.89

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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.