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Finding the Fourth Proportional to 192,705.93, 289,107.90 and 74,345.49

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Solution

The fourth proportional to 192,705.93, 289,107.90 and 74,345.49 is: 111,537.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,705.93 : 289,107.90 = 74,345.49 : x
  2. Step 2: Convert to fraction form
    192,705.93/289,107.90 = 74,345.49/x
  3. Step 3: Cross multiply
    192,705.93x = 289,107.90 × 74,345.49
  4. Step 4: Simplify right side
    192,705.93x = 21,493,868,488.37
  5. Step 5: Solve for x
    x = 21,493,868,488.37/192,705.93
  6. Step 6: Final answer
    x = 111,537.14

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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.