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Finding the Fourth Proportional to 30,109.50, 41,551.03 and 16,680.78

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Solution

The fourth proportional to 30,109.50, 41,551.03 and 16,680.78 is: 23,019.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,109.50 : 41,551.03 = 16,680.78 : x
  2. Step 2: Convert to fraction form
    30,109.50/41,551.03 = 16,680.78/x
  3. Step 3: Cross multiply
    30,109.50x = 41,551.03 × 16,680.78
  4. Step 4: Simplify right side
    30,109.50x = 693,103,590.20
  5. Step 5: Solve for x
    x = 693,103,590.20/30,109.50
  6. Step 6: Final answer
    x = 23,019.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.