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Finding the Fourth Proportional to 45,207, 67,824.72 and 20,268

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Solution

The fourth proportional to 45,207, 67,824.72 and 20,268 is: 30,408.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,207 : 67,824.72 = 20,268 : x
  2. Step 2: Convert to fraction form
    45,207/67,824.72 = 20,268/x
  3. Step 3: Cross multiply
    45,207x = 67,824.72 × 20,268
  4. Step 4: Simplify right side
    45,207x = 1,374,671,424.96
  5. Step 5: Solve for x
    x = 1,374,671,424.96/45,207
  6. Step 6: Final answer
    x = 30,408.38

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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.