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Finding the Fourth Proportional to 203,287.22, 305,210.16 and 103,514.48

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Solution

The fourth proportional to 203,287.22, 305,210.16 and 103,514.48 is: 155,413.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,287.22 : 305,210.16 = 103,514.48 : x
  2. Step 2: Convert to fraction form
    203,287.22/305,210.16 = 103,514.48/x
  3. Step 3: Cross multiply
    203,287.22x = 305,210.16 × 103,514.48
  4. Step 4: Simplify right side
    203,287.22x = 31,593,671,003.12
  5. Step 5: Solve for x
    x = 31,593,671,003.12/203,287.22
  6. Step 6: Final answer
    x = 155,413.96

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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.