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Finding the Fourth Proportional to 208,205.80, 312,078.30 and 114,778.60

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Solution

The fourth proportional to 208,205.80, 312,078.30 and 114,778.60 is: 172,040.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,205.80 : 312,078.30 = 114,778.60 : x
  2. Step 2: Convert to fraction form
    208,205.80/312,078.30 = 114,778.60/x
  3. Step 3: Cross multiply
    208,205.80x = 312,078.30 × 114,778.60
  4. Step 4: Simplify right side
    208,205.80x = 35,819,910,364.38
  5. Step 5: Solve for x
    x = 35,819,910,364.38/208,205.80
  6. Step 6: Final answer
    x = 172,040.89

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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.