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Finding the Fourth Proportional to 139,819.96, 209,554.80 and 110,120.50

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Solution

The fourth proportional to 139,819.96, 209,554.80 and 110,120.50 is: 165,042.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,819.96 : 209,554.80 = 110,120.50 : x
  2. Step 2: Convert to fraction form
    139,819.96/209,554.80 = 110,120.50/x
  3. Step 3: Cross multiply
    139,819.96x = 209,554.80 × 110,120.50
  4. Step 4: Simplify right side
    139,819.96x = 23,076,279,353.40
  5. Step 5: Solve for x
    x = 23,076,279,353.40/139,819.96
  6. Step 6: Final answer
    x = 165,042.81

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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.