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Finding the Fourth Proportional to 190,872.52, 285,738.54 and 115,765

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Solution

The fourth proportional to 190,872.52, 285,738.54 and 115,765 is: 173,301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,872.52 : 285,738.54 = 115,765 : x
  2. Step 2: Convert to fraction form
    190,872.52/285,738.54 = 115,765/x
  3. Step 3: Cross multiply
    190,872.52x = 285,738.54 × 115,765
  4. Step 4: Simplify right side
    190,872.52x = 33,078,522,083.10
  5. Step 5: Solve for x
    x = 33,078,522,083.10/190,872.52
  6. Step 6: Final answer
    x = 173,301.65

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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.