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Finding the Fourth Proportional to 68,099.50, 93,977.31 and 38,291.50

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Solution

The fourth proportional to 68,099.50, 93,977.31 and 38,291.50 is: 52,842.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,099.50 : 93,977.31 = 38,291.50 : x
  2. Step 2: Convert to fraction form
    68,099.50/93,977.31 = 38,291.50/x
  3. Step 3: Cross multiply
    68,099.50x = 93,977.31 × 38,291.50
  4. Step 4: Simplify right side
    68,099.50x = 3,598,532,165.87
  5. Step 5: Solve for x
    x = 3,598,532,165.87/68,099.50
  6. Step 6: Final answer
    x = 52,842.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.