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Finding the Fourth Proportional to 120,167.36, 165,832.04 and 66,456

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Solution

The fourth proportional to 120,167.36, 165,832.04 and 66,456 is: 91,709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,167.36 : 165,832.04 = 66,456 : x
  2. Step 2: Convert to fraction form
    120,167.36/165,832.04 = 66,456/x
  3. Step 3: Cross multiply
    120,167.36x = 165,832.04 × 66,456
  4. Step 4: Simplify right side
    120,167.36x = 11,020,533,717.96
  5. Step 5: Solve for x
    x = 11,020,533,717.96/120,167.36
  6. Step 6: Final answer
    x = 91,709.88

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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.