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Finding the Fourth Proportional to 20,103, 30,109.86 and 11,318.28

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Solution

The fourth proportional to 20,103, 30,109.86 and 11,318.28 is: 16,952.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,103 : 30,109.86 = 11,318.28 : x
  2. Step 2: Convert to fraction form
    20,103/30,109.86 = 11,318.28/x
  3. Step 3: Cross multiply
    20,103x = 30,109.86 × 11,318.28
  4. Step 4: Simplify right side
    20,103x = 340,791,826.24
  5. Step 5: Solve for x
    x = 340,791,826.24/20,103
  6. Step 6: Final answer
    x = 16,952.29

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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.