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Finding the Fourth Proportional to 120,971.88, 166,963.14 and 69,978.60

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Solution

The fourth proportional to 120,971.88, 166,963.14 and 69,978.60 is: 96,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,971.88 : 166,963.14 = 69,978.60 : x
  2. Step 2: Convert to fraction form
    120,971.88/166,963.14 = 69,978.60/x
  3. Step 3: Cross multiply
    120,971.88x = 166,963.14 × 69,978.60
  4. Step 4: Simplify right side
    120,971.88x = 11,683,846,788.80
  5. Step 5: Solve for x
    x = 11,683,846,788.80/120,971.88
  6. Step 6: Final answer
    x = 96,583.16

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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.