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Finding the Fourth Proportional to 68,122.60, 102,068.70 and 32,986.60

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Solution

The fourth proportional to 68,122.60, 102,068.70 and 32,986.60 is: 49,424.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,122.60 : 102,068.70 = 32,986.60 : x
  2. Step 2: Convert to fraction form
    68,122.60/102,068.70 = 32,986.60/x
  3. Step 3: Cross multiply
    68,122.60x = 102,068.70 × 32,986.60
  4. Step 4: Simplify right side
    68,122.60x = 3,366,899,379.42
  5. Step 5: Solve for x
    x = 3,366,899,379.42/68,122.60
  6. Step 6: Final answer
    x = 49,424.12

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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.