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Finding the Fourth Proportional to 189,692.82, 261,898.13 and 121,739.09

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Solution

The fourth proportional to 189,692.82, 261,898.13 and 121,739.09 is: 168,078.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,692.82 : 261,898.13 = 121,739.09 : x
  2. Step 2: Convert to fraction form
    189,692.82/261,898.13 = 121,739.09/x
  3. Step 3: Cross multiply
    189,692.82x = 261,898.13 × 121,739.09
  4. Step 4: Simplify right side
    189,692.82x = 31,883,238,100.72
  5. Step 5: Solve for x
    x = 31,883,238,100.72/189,692.82
  6. Step 6: Final answer
    x = 168,078.25

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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.