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Finding the Fourth Proportional to 110,906.40, 166,357.10 and 75,278.80

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Solution

The fourth proportional to 110,906.40, 166,357.10 and 75,278.80 is: 112,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,906.40 : 166,357.10 = 75,278.80 : x
  2. Step 2: Convert to fraction form
    110,906.40/166,357.10 = 75,278.80/x
  3. Step 3: Cross multiply
    110,906.40x = 166,357.10 × 75,278.80
  4. Step 4: Simplify right side
    110,906.40x = 12,523,162,859.48
  5. Step 5: Solve for x
    x = 12,523,162,859.48/110,906.40
  6. Step 6: Final answer
    x = 112,916.50

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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.