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Finding the Fourth Proportional to 139,704.63, 209,598.32 and 80,582.73

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Solution

The fourth proportional to 139,704.63, 209,598.32 and 80,582.73 is: 120,897.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,704.63 : 209,598.32 = 80,582.73 : x
  2. Step 2: Convert to fraction form
    139,704.63/209,598.32 = 80,582.73/x
  3. Step 3: Cross multiply
    139,704.63x = 209,598.32 × 80,582.73
  4. Step 4: Simplify right side
    139,704.63x = 16,890,004,829.01
  5. Step 5: Solve for x
    x = 16,890,004,829.01/139,704.63
  6. Step 6: Final answer
    x = 120,897.96

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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.