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Finding the Fourth Proportional to 189,064.72, 260,914.78 and 104,187.25

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Solution

The fourth proportional to 189,064.72, 260,914.78 and 104,187.25 is: 143,781.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,064.72 : 260,914.78 = 104,187.25 : x
  2. Step 2: Convert to fraction form
    189,064.72/260,914.78 = 104,187.25/x
  3. Step 3: Cross multiply
    189,064.72x = 260,914.78 × 104,187.25
  4. Step 4: Simplify right side
    189,064.72x = 27,183,993,412.56
  5. Step 5: Solve for x
    x = 27,183,993,412.56/189,064.72
  6. Step 6: Final answer
    x = 143,781.42

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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.