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Finding the Fourth Proportional to 53,709.84, 80,564.79 and 20,422.22

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Solution

The fourth proportional to 53,709.84, 80,564.79 and 20,422.22 is: 30,633.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,709.84 : 80,564.79 = 20,422.22 : x
  2. Step 2: Convert to fraction form
    53,709.84/80,564.79 = 20,422.22/x
  3. Step 3: Cross multiply
    53,709.84x = 80,564.79 × 20,422.22
  4. Step 4: Simplify right side
    53,709.84x = 1,645,311,462.81
  5. Step 5: Solve for x
    x = 1,645,311,462.81/53,709.84
  6. Step 6: Final answer
    x = 30,633.33

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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.