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Finding the Fourth Proportional to 49,474.80, 74,212.20 and 18,322.20

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Solution

The fourth proportional to 49,474.80, 74,212.20 and 18,322.20 is: 27,483.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,474.80 : 74,212.20 = 18,322.20 : x
  2. Step 2: Convert to fraction form
    49,474.80/74,212.20 = 18,322.20/x
  3. Step 3: Cross multiply
    49,474.80x = 74,212.20 × 18,322.20
  4. Step 4: Simplify right side
    49,474.80x = 1,359,730,770.84
  5. Step 5: Solve for x
    x = 1,359,730,770.84/49,474.80
  6. Step 6: Final answer
    x = 27,483.30

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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.