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Finding the Fourth Proportional to 68,477.64, 94,490.46 and 40,173

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Solution

The fourth proportional to 68,477.64, 94,490.46 and 40,173 is: 55,433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,477.64 : 94,490.46 = 40,173 : x
  2. Step 2: Convert to fraction form
    68,477.64/94,490.46 = 40,173/x
  3. Step 3: Cross multiply
    68,477.64x = 94,490.46 × 40,173
  4. Step 4: Simplify right side
    68,477.64x = 3,795,965,249.58
  5. Step 5: Solve for x
    x = 3,795,965,249.58/68,477.64
  6. Step 6: Final answer
    x = 55,433.65

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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.