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Finding the Fourth Proportional to 66,824, 92,217.12 and 40,328

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Solution

The fourth proportional to 66,824, 92,217.12 and 40,328 is: 55,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,824 : 92,217.12 = 40,328 : x
  2. Step 2: Convert to fraction form
    66,824/92,217.12 = 40,328/x
  3. Step 3: Cross multiply
    66,824x = 92,217.12 × 40,328
  4. Step 4: Simplify right side
    66,824x = 3,718,932,015.36
  5. Step 5: Solve for x
    x = 3,718,932,015.36/66,824
  6. Step 6: Final answer
    x = 55,652.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.