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Finding the Fourth Proportional to 30,532.74, 45,799.74 and 20,069.48

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Solution

The fourth proportional to 30,532.74, 45,799.74 and 20,069.48 is: 30,104.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532.74 : 45,799.74 = 20,069.48 : x
  2. Step 2: Convert to fraction form
    30,532.74/45,799.74 = 20,069.48/x
  3. Step 3: Cross multiply
    30,532.74x = 45,799.74 × 20,069.48
  4. Step 4: Simplify right side
    30,532.74x = 919,176,736.94
  5. Step 5: Solve for x
    x = 919,176,736.94/30,532.74
  6. Step 6: Final answer
    x = 30,104.63

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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.