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Finding the Fourth Proportional to 68,129.17, 102,167.83 and 31,167.25

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Solution

The fourth proportional to 68,129.17, 102,167.83 and 31,167.25 is: 46,739.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,129.17 : 102,167.83 = 31,167.25 : x
  2. Step 2: Convert to fraction form
    68,129.17/102,167.83 = 31,167.25/x
  3. Step 3: Cross multiply
    68,129.17x = 102,167.83 × 31,167.25
  4. Step 4: Simplify right side
    68,129.17x = 3,184,290,299.57
  5. Step 5: Solve for x
    x = 3,184,290,299.57/68,129.17
  6. Step 6: Final answer
    x = 46,739.02

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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.