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Finding the Fourth Proportional to 120,164.48, 165,847.56 and 69,892.64

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Solution

The fourth proportional to 120,164.48, 165,847.56 and 69,892.64 is: 96,463.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,164.48 : 165,847.56 = 69,892.64 : x
  2. Step 2: Convert to fraction form
    120,164.48/165,847.56 = 69,892.64/x
  3. Step 3: Cross multiply
    120,164.48x = 165,847.56 × 69,892.64
  4. Step 4: Simplify right side
    120,164.48x = 11,591,523,805.96
  5. Step 5: Solve for x
    x = 11,591,523,805.96/120,164.48
  6. Step 6: Final answer
    x = 96,463.81

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1.5x scale

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.