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Finding the Fourth Proportional to 139,705.70, 209,556.50 and 34,524.66

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Solution

The fourth proportional to 139,705.70, 209,556.50 and 34,524.66 is: 51,786.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,705.70 : 209,556.50 = 34,524.66 : x
  2. Step 2: Convert to fraction form
    139,705.70/209,556.50 = 34,524.66/x
  3. Step 3: Cross multiply
    139,705.70x = 209,556.50 × 34,524.66
  4. Step 4: Simplify right side
    139,705.70x = 7,234,866,740.67
  5. Step 5: Solve for x
    x = 7,234,866,740.67/139,705.70
  6. Step 6: Final answer
    x = 51,786.48

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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.