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Finding the Fourth Proportional to 185,911.94, 278,711.19 and 80,651.54

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Solution

The fourth proportional to 185,911.94, 278,711.19 and 80,651.54 is: 120,909.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,911.94 : 278,711.19 = 80,651.54 : x
  2. Step 2: Convert to fraction form
    185,911.94/278,711.19 = 80,651.54/x
  3. Step 3: Cross multiply
    185,911.94x = 278,711.19 × 80,651.54
  4. Step 4: Simplify right side
    185,911.94x = 22,478,486,688.73
  5. Step 5: Solve for x
    x = 22,478,486,688.73/185,911.94
  6. Step 6: Final answer
    x = 120,909.32

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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.