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Finding the Fourth Proportional to 109,793.40, 164,690.10 and 30,910.20

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Solution

The fourth proportional to 109,793.40, 164,690.10 and 30,910.20 is: 46,365.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,793.40 : 164,690.10 = 30,910.20 : x
  2. Step 2: Convert to fraction form
    109,793.40/164,690.10 = 30,910.20/x
  3. Step 3: Cross multiply
    109,793.40x = 164,690.10 × 30,910.20
  4. Step 4: Simplify right side
    109,793.40x = 5,090,603,929.02
  5. Step 5: Solve for x
    x = 5,090,603,929.02/109,793.40
  6. Step 6: Final answer
    x = 46,365.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.