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Finding the Fourth Proportional to 189,805.32, 261,927.72 and 104,920.56

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Solution

The fourth proportional to 189,805.32, 261,927.72 and 104,920.56 is: 144,788.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,805.32 : 261,927.72 = 104,920.56 : x
  2. Step 2: Convert to fraction form
    189,805.32/261,927.72 = 104,920.56/x
  3. Step 3: Cross multiply
    189,805.32x = 261,927.72 × 104,920.56
  4. Step 4: Simplify right side
    189,805.32x = 27,481,603,061.92
  5. Step 5: Solve for x
    x = 27,481,603,061.92/189,805.32
  6. Step 6: Final answer
    x = 144,788.37

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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.