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Finding the Fourth Proportional to 30,223.12, 45,322.80 and 10,227.11

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Solution

The fourth proportional to 30,223.12, 45,322.80 and 10,227.11 is: 15,336.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,223.12 : 45,322.80 = 10,227.11 : x
  2. Step 2: Convert to fraction form
    30,223.12/45,322.80 = 10,227.11/x
  3. Step 3: Cross multiply
    30,223.12x = 45,322.80 × 10,227.11
  4. Step 4: Simplify right side
    30,223.12x = 463,521,072.85
  5. Step 5: Solve for x
    x = 463,521,072.85/30,223.12
  6. Step 6: Final answer
    x = 15,336.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.