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Finding the Fourth Proportional to 120,164.46, 165,828.03 and 66,453.09

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Solution

The fourth proportional to 120,164.46, 165,828.03 and 66,453.09 is: 91,705.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,164.46 : 165,828.03 = 66,453.09 : x
  2. Step 2: Convert to fraction form
    120,164.46/165,828.03 = 66,453.09/x
  3. Step 3: Cross multiply
    120,164.46x = 165,828.03 × 66,453.09
  4. Step 4: Simplify right side
    120,164.46x = 11,019,785,002.11
  5. Step 5: Solve for x
    x = 11,019,785,002.11/120,164.46
  6. Step 6: Final answer
    x = 91,705.86

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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.