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Finding the Fourth Proportional to 189,823.62, 261,943.44 and 104,934

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Solution

The fourth proportional to 189,823.62, 261,943.44 and 104,934 is: 144,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,823.62 : 261,943.44 = 104,934 : x
  2. Step 2: Convert to fraction form
    189,823.62/261,943.44 = 104,934/x
  3. Step 3: Cross multiply
    189,823.62x = 261,943.44 × 104,934
  4. Step 4: Simplify right side
    189,823.62x = 27,486,772,932.96
  5. Step 5: Solve for x
    x = 27,486,772,932.96/189,823.62
  6. Step 6: Final answer
    x = 144,801.65

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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.