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Finding the Fourth Proportional to 189,737.49, 261,815.43 and 104,849.49

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Solution

The fourth proportional to 189,737.49, 261,815.43 and 104,849.49 is: 144,679.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,737.49 : 261,815.43 = 104,849.49 : x
  2. Step 2: Convert to fraction form
    189,737.49/261,815.43 = 104,849.49/x
  3. Step 3: Cross multiply
    189,737.49x = 261,815.43 × 104,849.49
  4. Step 4: Simplify right side
    189,737.49x = 27,451,214,309.63
  5. Step 5: Solve for x
    x = 27,451,214,309.63/189,737.49
  6. Step 6: Final answer
    x = 144,679.97

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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.