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Finding the Fourth Proportional to 68,829.78, 94,976.64 and 40,530

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Solution

The fourth proportional to 68,829.78, 94,976.64 and 40,530 is: 55,926.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,829.78 : 94,976.64 = 40,530 : x
  2. Step 2: Convert to fraction form
    68,829.78/94,976.64 = 40,530/x
  3. Step 3: Cross multiply
    68,829.78x = 94,976.64 × 40,530
  4. Step 4: Simplify right side
    68,829.78x = 3,849,403,219.20
  5. Step 5: Solve for x
    x = 3,849,403,219.20/68,829.78
  6. Step 6: Final answer
    x = 55,926.42

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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.