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Finding the Fourth Proportional to 189,662.70, 261,739.82 and 104,785.23

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Solution

The fourth proportional to 189,662.70, 261,739.82 and 104,785.23 is: 144,606.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,662.70 : 261,739.82 = 104,785.23 : x
  2. Step 2: Convert to fraction form
    189,662.70/261,739.82 = 104,785.23/x
  3. Step 3: Cross multiply
    189,662.70x = 261,739.82 × 104,785.23
  4. Step 4: Simplify right side
    189,662.70x = 27,426,466,714.93
  5. Step 5: Solve for x
    x = 27,426,466,714.93/189,662.70
  6. Step 6: Final answer
    x = 144,606.54

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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.