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Finding the Fourth Proportional to 120,274, 165,980.84 and 77,906.28

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Solution

The fourth proportional to 120,274, 165,980.84 and 77,906.28 is: 107,512.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,274 : 165,980.84 = 77,906.28 : x
  2. Step 2: Convert to fraction form
    120,274/165,980.84 = 77,906.28/x
  3. Step 3: Cross multiply
    120,274x = 165,980.84 × 77,906.28
  4. Step 4: Simplify right side
    120,274x = 12,930,949,795.68
  5. Step 5: Solve for x
    x = 12,930,949,795.68/120,274
  6. Step 6: Final answer
    x = 107,512.43

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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.