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Finding the Fourth Proportional to 68,051.96, 102,078.11 and 20,667.41

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Solution

The fourth proportional to 68,051.96, 102,078.11 and 20,667.41 is: 31,001.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,051.96 : 102,078.11 = 20,667.41 : x
  2. Step 2: Convert to fraction form
    68,051.96/102,078.11 = 20,667.41/x
  3. Step 3: Cross multiply
    68,051.96x = 102,078.11 × 20,667.41
  4. Step 4: Simplify right side
    68,051.96x = 2,109,690,303.25
  5. Step 5: Solve for x
    x = 2,109,690,303.25/68,051.96
  6. Step 6: Final answer
    x = 31,001.17

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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.