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Finding the Fourth Proportional to 46,527.60, 69,769.80 and 20,218.80

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Solution

The fourth proportional to 46,527.60, 69,769.80 and 20,218.80 is: 30,318.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,527.60 : 69,769.80 = 20,218.80 : x
  2. Step 2: Convert to fraction form
    46,527.60/69,769.80 = 20,218.80/x
  3. Step 3: Cross multiply
    46,527.60x = 69,769.80 × 20,218.80
  4. Step 4: Simplify right side
    46,527.60x = 1,410,661,632.24
  5. Step 5: Solve for x
    x = 1,410,661,632.24/46,527.60
  6. Step 6: Final answer
    x = 30,318.81

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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.