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Finding the Fourth Proportional to 119,769.84, 165,356.64 and 84,103.92

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Solution

The fourth proportional to 119,769.84, 165,356.64 and 84,103.92 is: 116,115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,769.84 : 165,356.64 = 84,103.92 : x
  2. Step 2: Convert to fraction form
    119,769.84/165,356.64 = 84,103.92/x
  3. Step 3: Cross multiply
    119,769.84x = 165,356.64 × 84,103.92
  4. Step 4: Simplify right side
    119,769.84x = 13,907,141,622.03
  5. Step 5: Solve for x
    x = 13,907,141,622.03/119,769.84
  6. Step 6: Final answer
    x = 116,115.56

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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.