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Finding the Fourth Proportional to 109,819.40, 164,729.10 and 74,337.80

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Solution

The fourth proportional to 109,819.40, 164,729.10 and 74,337.80 is: 111,506.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,819.40 : 164,729.10 = 74,337.80 : x
  2. Step 2: Convert to fraction form
    109,819.40/164,729.10 = 74,337.80/x
  3. Step 3: Cross multiply
    109,819.40x = 164,729.10 × 74,337.80
  4. Step 4: Simplify right side
    109,819.40x = 12,245,598,889.98
  5. Step 5: Solve for x
    x = 12,245,598,889.98/109,819.40
  6. Step 6: Final answer
    x = 111,506.70

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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.