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Finding the Fourth Proportional to 68,410.86, 102,667.08 and 51,791.82

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Solution

The fourth proportional to 68,410.86, 102,667.08 and 51,791.82 is: 77,726.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,410.86 : 102,667.08 = 51,791.82 : x
  2. Step 2: Convert to fraction form
    68,410.86/102,667.08 = 51,791.82/x
  3. Step 3: Cross multiply
    68,410.86x = 102,667.08 × 51,791.82
  4. Step 4: Simplify right side
    68,410.86x = 5,317,314,927.29
  5. Step 5: Solve for x
    x = 5,317,314,927.29/68,410.86
  6. Step 6: Final answer
    x = 77,726.18

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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.