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Finding the Fourth Proportional to 109,638.70, 164,458.05 and 30,766.30

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Solution

The fourth proportional to 109,638.70, 164,458.05 and 30,766.30 is: 46,149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,638.70 : 164,458.05 = 30,766.30 : x
  2. Step 2: Convert to fraction form
    109,638.70/164,458.05 = 30,766.30/x
  3. Step 3: Cross multiply
    109,638.70x = 164,458.05 × 30,766.30
  4. Step 4: Simplify right side
    109,638.70x = 5,059,765,703.72
  5. Step 5: Solve for x
    x = 5,059,765,703.72/109,638.70
  6. Step 6: Final answer
    x = 46,149.45

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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.