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Finding the Fourth Proportional to 103,222.89, 154,834.20 and 68,154.21

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Solution

The fourth proportional to 103,222.89, 154,834.20 and 68,154.21 is: 102,231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,222.89 : 154,834.20 = 68,154.21 : x
  2. Step 2: Convert to fraction form
    103,222.89/154,834.20 = 68,154.21/x
  3. Step 3: Cross multiply
    103,222.89x = 154,834.20 × 68,154.21
  4. Step 4: Simplify right side
    103,222.89x = 10,552,602,581.98
  5. Step 5: Solve for x
    x = 10,552,602,581.98/103,222.89
  6. Step 6: Final answer
    x = 102,231.23

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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.