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Finding the Fourth Proportional to 159,093.40, 219,544.68 and 86,494

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Solution

The fourth proportional to 159,093.40, 219,544.68 and 86,494 is: 119,359.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,093.40 : 219,544.68 = 86,494 : x
  2. Step 2: Convert to fraction form
    159,093.40/219,544.68 = 86,494/x
  3. Step 3: Cross multiply
    159,093.40x = 219,544.68 × 86,494
  4. Step 4: Simplify right side
    159,093.40x = 18,989,297,551.92
  5. Step 5: Solve for x
    x = 18,989,297,551.92/159,093.40
  6. Step 6: Final answer
    x = 119,359.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.