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Finding the Fourth Proportional to 120,690.47, 166,554.66 and 66,978.97

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Solution

The fourth proportional to 120,690.47, 166,554.66 and 66,978.97 is: 92,431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,690.47 : 166,554.66 = 66,978.97 : x
  2. Step 2: Convert to fraction form
    120,690.47/166,554.66 = 66,978.97/x
  3. Step 3: Cross multiply
    120,690.47x = 166,554.66 × 66,978.97
  4. Step 4: Simplify right side
    120,690.47x = 11,155,659,410.28
  5. Step 5: Solve for x
    x = 11,155,659,410.28/120,690.47
  6. Step 6: Final answer
    x = 92,431.98

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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.