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Finding the Fourth Proportional to 30,190.80, 45,286.20 and 21,853.20

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Solution

The fourth proportional to 30,190.80, 45,286.20 and 21,853.20 is: 32,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,190.80 : 45,286.20 = 21,853.20 : x
  2. Step 2: Convert to fraction form
    30,190.80/45,286.20 = 21,853.20/x
  3. Step 3: Cross multiply
    30,190.80x = 45,286.20 × 21,853.20
  4. Step 4: Simplify right side
    30,190.80x = 989,648,385.84
  5. Step 5: Solve for x
    x = 989,648,385.84/30,190.80
  6. Step 6: Final answer
    x = 32,779.80

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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.