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Finding the Fourth Proportional to 203,425.50, 305,138.25 and 78,766.50

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Solution

The fourth proportional to 203,425.50, 305,138.25 and 78,766.50 is: 118,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,425.50 : 305,138.25 = 78,766.50 : x
  2. Step 2: Convert to fraction form
    203,425.50/305,138.25 = 78,766.50/x
  3. Step 3: Cross multiply
    203,425.50x = 305,138.25 × 78,766.50
  4. Step 4: Simplify right side
    203,425.50x = 24,034,671,968.63
  5. Step 5: Solve for x
    x = 24,034,671,968.63/203,425.50
  6. Step 6: Final answer
    x = 118,149.75

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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.