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Finding the Fourth Proportional to 68,324.49, 102,501.90 and 20,946.15

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Solution

The fourth proportional to 68,324.49, 102,501.90 and 20,946.15 is: 31,423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,324.49 : 102,501.90 = 20,946.15 : x
  2. Step 2: Convert to fraction form
    68,324.49/102,501.90 = 20,946.15/x
  3. Step 3: Cross multiply
    68,324.49x = 102,501.90 × 20,946.15
  4. Step 4: Simplify right side
    68,324.49x = 2,147,020,172.69
  5. Step 5: Solve for x
    x = 2,147,020,172.69/68,324.49
  6. Step 6: Final answer
    x = 31,423.87

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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.