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Finding the Fourth Proportional to 32,903.80, 49,355.70 and 20,219.20

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Solution

The fourth proportional to 32,903.80, 49,355.70 and 20,219.20 is: 30,328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,903.80 : 49,355.70 = 20,219.20 : x
  2. Step 2: Convert to fraction form
    32,903.80/49,355.70 = 20,219.20/x
  3. Step 3: Cross multiply
    32,903.80x = 49,355.70 × 20,219.20
  4. Step 4: Simplify right side
    32,903.80x = 997,932,769.44
  5. Step 5: Solve for x
    x = 997,932,769.44/32,903.80
  6. Step 6: Final answer
    x = 30,328.80

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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.