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Finding the Fourth Proportional to 189,590.76, 261,633.65 and 104,706

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Solution

The fourth proportional to 189,590.76, 261,633.65 and 104,706 is: 144,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,590.76 : 261,633.65 = 104,706 : x
  2. Step 2: Convert to fraction form
    189,590.76/261,633.65 = 104,706/x
  3. Step 3: Cross multiply
    189,590.76x = 261,633.65 × 104,706
  4. Step 4: Simplify right side
    189,590.76x = 27,394,612,433.37
  5. Step 5: Solve for x
    x = 27,394,612,433.37/189,590.76
  6. Step 6: Final answer
    x = 144,493.39

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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.