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Finding the Fourth Proportional to 45,009, 67,513.62 and 12,177

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Solution

The fourth proportional to 45,009, 67,513.62 and 12,177 is: 18,265.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,009 : 67,513.62 = 12,177 : x
  2. Step 2: Convert to fraction form
    45,009/67,513.62 = 12,177/x
  3. Step 3: Cross multiply
    45,009x = 67,513.62 × 12,177
  4. Step 4: Simplify right side
    45,009x = 822,113,350.74
  5. Step 5: Solve for x
    x = 822,113,350.74/45,009
  6. Step 6: Final answer
    x = 18,265.53

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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.