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Finding the Fourth Proportional to 119,439.80, 164,813.10 and 81,769.40

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Solution

The fourth proportional to 119,439.80, 164,813.10 and 81,769.40 is: 112,832.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,439.80 : 164,813.10 = 81,769.40 : x
  2. Step 2: Convert to fraction form
    119,439.80/164,813.10 = 81,769.40/x
  3. Step 3: Cross multiply
    119,439.80x = 164,813.10 × 81,769.40
  4. Step 4: Simplify right side
    119,439.80x = 13,476,668,299.14
  5. Step 5: Solve for x
    x = 13,476,668,299.14/119,439.80
  6. Step 6: Final answer
    x = 112,832.31

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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.