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Finding the Fourth Proportional to 45,104, 67,656.24 and 12,272

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Solution

The fourth proportional to 45,104, 67,656.24 and 12,272 is: 18,408.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,104 : 67,656.24 = 12,272 : x
  2. Step 2: Convert to fraction form
    45,104/67,656.24 = 12,272/x
  3. Step 3: Cross multiply
    45,104x = 67,656.24 × 12,272
  4. Step 4: Simplify right side
    45,104x = 830,277,377.28
  5. Step 5: Solve for x
    x = 830,277,377.28/45,104
  6. Step 6: Final answer
    x = 18,408.07

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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.