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Finding the Fourth Proportional to 120,419.92, 166,172.88 and 66,703.96

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Solution

The fourth proportional to 120,419.92, 166,172.88 and 66,703.96 is: 92,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,419.92 : 166,172.88 = 66,703.96 : x
  2. Step 2: Convert to fraction form
    120,419.92/166,172.88 = 66,703.96/x
  3. Step 3: Cross multiply
    120,419.92x = 166,172.88 × 66,703.96
  4. Step 4: Simplify right side
    120,419.92x = 11,084,389,140.60
  5. Step 5: Solve for x
    x = 11,084,389,140.60/120,419.92
  6. Step 6: Final answer
    x = 92,047.80

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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.