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Finding the Fourth Proportional to 189,784, 261,879.24 and 104,889.52

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Solution

The fourth proportional to 189,784, 261,879.24 and 104,889.52 is: 144,735.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,784 : 261,879.24 = 104,889.52 : x
  2. Step 2: Convert to fraction form
    189,784/261,879.24 = 104,889.52/x
  3. Step 3: Cross multiply
    189,784x = 261,879.24 × 104,889.52
  4. Step 4: Simplify right side
    189,784x = 27,468,387,781.56
  5. Step 5: Solve for x
    x = 27,468,387,781.56/189,784
  6. Step 6: Final answer
    x = 144,735.00

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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.