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Finding the Fourth Proportional to 119,843.71, 165,384.14 and 66,128.71

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Solution

The fourth proportional to 119,843.71, 165,384.14 and 66,128.71 is: 91,257.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,843.71 : 165,384.14 = 66,128.71 : x
  2. Step 2: Convert to fraction form
    119,843.71/165,384.14 = 66,128.71/x
  3. Step 3: Cross multiply
    119,843.71x = 165,384.14 × 66,128.71
  4. Step 4: Simplify right side
    119,843.71x = 10,936,639,832.66
  5. Step 5: Solve for x
    x = 10,936,639,832.66/119,843.71
  6. Step 6: Final answer
    x = 91,257.52

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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.