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Finding the Fourth Proportional to 209,064.88, 313,601.50 and 66,937.28

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Solution

The fourth proportional to 209,064.88, 313,601.50 and 66,937.28 is: 100,407.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,064.88 : 313,601.50 = 66,937.28 : x
  2. Step 2: Convert to fraction form
    209,064.88/313,601.50 = 66,937.28/x
  3. Step 3: Cross multiply
    209,064.88x = 313,601.50 × 66,937.28
  4. Step 4: Simplify right side
    209,064.88x = 20,991,631,413.92
  5. Step 5: Solve for x
    x = 20,991,631,413.92/209,064.88
  6. Step 6: Final answer
    x = 100,407.26

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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.