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Finding the Fourth Proportional to 205,065.95, 307,795.95 and 99,958.73

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Solution

The fourth proportional to 205,065.95, 307,795.95 and 99,958.73 is: 150,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,065.95 : 307,795.95 = 99,958.73 : x
  2. Step 2: Convert to fraction form
    205,065.95/307,795.95 = 99,958.73/x
  3. Step 3: Cross multiply
    205,065.95x = 307,795.95 × 99,958.73
  4. Step 4: Simplify right side
    205,065.95x = 30,766,890,722.16
  5. Step 5: Solve for x
    x = 30,766,890,722.16/205,065.95
  6. Step 6: Final answer
    x = 150,034.13

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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.