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Finding the Fourth Proportional to 189,114.48, 260,979.80 and 104,234.80

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Solution

The fourth proportional to 189,114.48, 260,979.80 and 104,234.80 is: 143,845.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,114.48 : 260,979.80 = 104,234.80 : x
  2. Step 2: Convert to fraction form
    189,114.48/260,979.80 = 104,234.80/x
  3. Step 3: Cross multiply
    189,114.48x = 260,979.80 × 104,234.80
  4. Step 4: Simplify right side
    189,114.48x = 27,203,177,257.04
  5. Step 5: Solve for x
    x = 27,203,177,257.04/189,114.48
  6. Step 6: Final answer
    x = 143,845.03

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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.