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Finding the Fourth Proportional to 80,582.63, 120,707.81 and 47,201.48

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Solution

The fourth proportional to 80,582.63, 120,707.81 and 47,201.48 is: 70,704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,582.63 : 120,707.81 = 47,201.48 : x
  2. Step 2: Convert to fraction form
    80,582.63/120,707.81 = 47,201.48/x
  3. Step 3: Cross multiply
    80,582.63x = 120,707.81 × 47,201.48
  4. Step 4: Simplify right side
    80,582.63x = 5,697,587,699.33
  5. Step 5: Solve for x
    x = 5,697,587,699.33/80,582.63
  6. Step 6: Final answer
    x = 70,704.92

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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.