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Finding the Fourth Proportional to 205,808.82, 308,488.03 and 105,975.00

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Solution

The fourth proportional to 205,808.82, 308,488.03 and 105,975.00 is: 158,846.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,808.82 : 308,488.03 = 105,975.00 : x
  2. Step 2: Convert to fraction form
    205,808.82/308,488.03 = 105,975.00/x
  3. Step 3: Cross multiply
    205,808.82x = 308,488.03 × 105,975.00
  4. Step 4: Simplify right side
    205,808.82x = 32,692,019,871.14
  5. Step 5: Solve for x
    x = 32,692,019,871.14/205,808.82
  6. Step 6: Final answer
    x = 158,846.54

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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.