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Finding the Fourth Proportional to 189,728.72, 261,822.44 and 103,685.80

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Solution

The fourth proportional to 189,728.72, 261,822.44 and 103,685.80 is: 143,084.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,728.72 : 261,822.44 = 103,685.80 : x
  2. Step 2: Convert to fraction form
    189,728.72/261,822.44 = 103,685.80/x
  3. Step 3: Cross multiply
    189,728.72x = 261,822.44 × 103,685.80
  4. Step 4: Simplify right side
    189,728.72x = 27,147,269,149.35
  5. Step 5: Solve for x
    x = 27,147,269,149.35/189,728.72
  6. Step 6: Final answer
    x = 143,084.66

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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.