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Finding the Fourth Proportional to 109,195.96, 163,797.18 and 30,316

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Solution

The fourth proportional to 109,195.96, 163,797.18 and 30,316 is: 45,474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,195.96 : 163,797.18 = 30,316 : x
  2. Step 2: Convert to fraction form
    109,195.96/163,797.18 = 30,316/x
  3. Step 3: Cross multiply
    109,195.96x = 163,797.18 × 30,316
  4. Step 4: Simplify right side
    109,195.96x = 4,965,675,308.88
  5. Step 5: Solve for x
    x = 4,965,675,308.88/109,195.96
  6. Step 6: Final answer
    x = 45,474.90

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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.