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Finding the Fourth Proportional to 205,190.94, 307,894.76 and 145,604.44

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Solution

The fourth proportional to 205,190.94, 307,894.76 and 145,604.44 is: 218,483.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,190.94 : 307,894.76 = 145,604.44 : x
  2. Step 2: Convert to fraction form
    205,190.94/307,894.76 = 145,604.44/x
  3. Step 3: Cross multiply
    205,190.94x = 307,894.76 × 145,604.44
  4. Step 4: Simplify right side
    205,190.94x = 44,830,844,108.73
  5. Step 5: Solve for x
    x = 44,830,844,108.73/205,190.94
  6. Step 6: Final answer
    x = 218,483.55

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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.