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Finding the Fourth Proportional to 209,804.27, 314,751.26 and 67,657.64

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Solution

The fourth proportional to 209,804.27, 314,751.26 and 67,657.64 is: 101,500.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,804.27 : 314,751.26 = 67,657.64 : x
  2. Step 2: Convert to fraction form
    209,804.27/314,751.26 = 67,657.64/x
  3. Step 3: Cross multiply
    209,804.27x = 314,751.26 × 67,657.64
  4. Step 4: Simplify right side
    209,804.27x = 21,295,328,394.65
  5. Step 5: Solve for x
    x = 21,295,328,394.65/209,804.27
  6. Step 6: Final answer
    x = 101,500.93

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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.