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Finding the Fourth Proportional to 205,290.08, 307,964.42 and 63,147.21

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Solution

The fourth proportional to 205,290.08, 307,964.42 and 63,147.21 is: 94,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,290.08 : 307,964.42 = 63,147.21 : x
  2. Step 2: Convert to fraction form
    205,290.08/307,964.42 = 63,147.21/x
  3. Step 3: Cross multiply
    205,290.08x = 307,964.42 × 63,147.21
  4. Step 4: Simplify right side
    205,290.08x = 19,447,093,902.27
  5. Step 5: Solve for x
    x = 19,447,093,902.27/205,290.08
  6. Step 6: Final answer
    x = 94,729.83

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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.