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Finding the Fourth Proportional to 45,608, 68,412 and 12,325.51

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Solution

The fourth proportional to 45,608, 68,412 and 12,325.51 is: 18,488.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,608 : 68,412 = 12,325.51 : x
  2. Step 2: Convert to fraction form
    45,608/68,412 = 12,325.51/x
  3. Step 3: Cross multiply
    45,608x = 68,412 × 12,325.51
  4. Step 4: Simplify right side
    45,608x = 843,212,790.12
  5. Step 5: Solve for x
    x = 843,212,790.12/45,608
  6. Step 6: Final answer
    x = 18,488.27

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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.