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Finding the Fourth Proportional to 120,920.90, 166,945.56 and 77,915.60

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Solution

The fourth proportional to 120,920.90, 166,945.56 and 77,915.60 is: 107,571.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,920.90 : 166,945.56 = 77,915.60 : x
  2. Step 2: Convert to fraction form
    120,920.90/166,945.56 = 77,915.60/x
  3. Step 3: Cross multiply
    120,920.90x = 166,945.56 × 77,915.60
  4. Step 4: Simplify right side
    120,920.90x = 13,007,662,504.34
  5. Step 5: Solve for x
    x = 13,007,662,504.34/120,920.90
  6. Step 6: Final answer
    x = 107,571.66

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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.