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Finding the Fourth Proportional to 68,959.94, 103,356.30 and 31,468.64

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Solution

The fourth proportional to 68,959.94, 103,356.30 and 31,468.64 is: 47,164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,959.94 : 103,356.30 = 31,468.64 : x
  2. Step 2: Convert to fraction form
    68,959.94/103,356.30 = 31,468.64/x
  3. Step 3: Cross multiply
    68,959.94x = 103,356.30 × 31,468.64
  4. Step 4: Simplify right side
    68,959.94x = 3,252,482,196.43
  5. Step 5: Solve for x
    x = 3,252,482,196.43/68,959.94
  6. Step 6: Final answer
    x = 47,164.81

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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.