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Finding the Fourth Proportional to 68,646.96, 102,968.28 and 31,179.60

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Solution

The fourth proportional to 68,646.96, 102,968.28 and 31,179.60 is: 46,768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,646.96 : 102,968.28 = 31,179.60 : x
  2. Step 2: Convert to fraction form
    68,646.96/102,968.28 = 31,179.60/x
  3. Step 3: Cross multiply
    68,646.96x = 102,968.28 × 31,179.60
  4. Step 4: Simplify right side
    68,646.96x = 3,210,509,783.09
  5. Step 5: Solve for x
    x = 3,210,509,783.09/68,646.96
  6. Step 6: Final answer
    x = 46,768.42

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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.