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Finding the Fourth Proportional to 208,594.52, 312,903.89 and 80,511.52

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Solution

The fourth proportional to 208,594.52, 312,903.89 and 80,511.52 is: 120,771.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,594.52 : 312,903.89 = 80,511.52 : x
  2. Step 2: Convert to fraction form
    208,594.52/312,903.89 = 80,511.52/x
  3. Step 3: Cross multiply
    208,594.52x = 312,903.89 × 80,511.52
  4. Step 4: Simplify right side
    208,594.52x = 25,192,367,174.81
  5. Step 5: Solve for x
    x = 25,192,367,174.81/208,594.52
  6. Step 6: Final answer
    x = 120,771.95

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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.