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Finding the Fourth Proportional to 120,754.64, 166,629.01 and 69,783.75

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Solution

The fourth proportional to 120,754.64, 166,629.01 and 69,783.75 is: 96,294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,754.64 : 166,629.01 = 69,783.75 : x
  2. Step 2: Convert to fraction form
    120,754.64/166,629.01 = 69,783.75/x
  3. Step 3: Cross multiply
    120,754.64x = 166,629.01 × 69,783.75
  4. Step 4: Simplify right side
    120,754.64x = 11,627,997,699.75
  5. Step 5: Solve for x
    x = 11,627,997,699.75/120,754.64
  6. Step 6: Final answer
    x = 96,294.42

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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.