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Finding the Fourth Proportional to 68,334.40, 102,428.70 and 26,198.20

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Solution

The fourth proportional to 68,334.40, 102,428.70 and 26,198.20 is: 39,269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,334.40 : 102,428.70 = 26,198.20 : x
  2. Step 2: Convert to fraction form
    68,334.40/102,428.70 = 26,198.20/x
  3. Step 3: Cross multiply
    68,334.40x = 102,428.70 × 26,198.20
  4. Step 4: Simplify right side
    68,334.40x = 2,683,447,568.34
  5. Step 5: Solve for x
    x = 2,683,447,568.34/68,334.40
  6. Step 6: Final answer
    x = 39,269.35

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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.