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Finding the Fourth Proportional to 109,198.74, 163,799.03 and 30,319.12

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Solution

The fourth proportional to 109,198.74, 163,799.03 and 30,319.12 is: 45,478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,198.74 : 163,799.03 = 30,319.12 : x
  2. Step 2: Convert to fraction form
    109,198.74/163,799.03 = 30,319.12/x
  3. Step 3: Cross multiply
    109,198.74x = 163,799.03 × 30,319.12
  4. Step 4: Simplify right side
    109,198.74x = 4,966,242,446.45
  5. Step 5: Solve for x
    x = 4,966,242,446.45/109,198.74
  6. Step 6: Final answer
    x = 45,478.94

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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.