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Finding the Fourth Proportional to 129,092.49, 193,224.33 and 68,970.72

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Solution

The fourth proportional to 129,092.49, 193,224.33 and 68,970.72 is: 103,234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,092.49 : 193,224.33 = 68,970.72 : x
  2. Step 2: Convert to fraction form
    129,092.49/193,224.33 = 68,970.72/x
  3. Step 3: Cross multiply
    129,092.49x = 193,224.33 × 68,970.72
  4. Step 4: Simplify right side
    129,092.49x = 13,326,821,161.62
  5. Step 5: Solve for x
    x = 13,326,821,161.62/129,092.49
  6. Step 6: Final answer
    x = 103,234.67

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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.