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Finding the Fourth Proportional to 189,069.36, 260,904.96 and 108,489.12

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Solution

The fourth proportional to 189,069.36, 260,904.96 and 108,489.12 is: 149,708.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,069.36 : 260,904.96 = 108,489.12 : x
  2. Step 2: Convert to fraction form
    189,069.36/260,904.96 = 108,489.12/x
  3. Step 3: Cross multiply
    189,069.36x = 260,904.96 × 108,489.12
  4. Step 4: Simplify right side
    189,069.36x = 28,305,349,514.04
  5. Step 5: Solve for x
    x = 28,305,349,514.04/189,069.36
  6. Step 6: Final answer
    x = 149,708.81

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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.