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Finding the Fourth Proportional to 53,485.65, 80,198.10 and 20,206.80

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Solution

The fourth proportional to 53,485.65, 80,198.10 and 20,206.80 is: 30,298.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,485.65 : 80,198.10 = 20,206.80 : x
  2. Step 2: Convert to fraction form
    53,485.65/80,198.10 = 20,206.80/x
  3. Step 3: Cross multiply
    53,485.65x = 80,198.10 × 20,206.80
  4. Step 4: Simplify right side
    53,485.65x = 1,620,546,967.08
  5. Step 5: Solve for x
    x = 1,620,546,967.08/53,485.65
  6. Step 6: Final answer
    x = 30,298.72

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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.