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Finding the Fourth Proportional to 189,787, 261,906.38 and 104,904.06

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Solution

The fourth proportional to 189,787, 261,906.38 and 104,904.06 is: 144,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,787 : 261,906.38 = 104,904.06 : x
  2. Step 2: Convert to fraction form
    189,787/261,906.38 = 104,904.06/x
  3. Step 3: Cross multiply
    189,787x = 261,906.38 × 104,904.06
  4. Step 4: Simplify right side
    189,787x = 27,475,042,601.90
  5. Step 5: Solve for x
    x = 27,475,042,601.90/189,787
  6. Step 6: Final answer
    x = 144,767.78

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1.5x scale

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.