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Finding the Fourth Proportional to 107,978,680.80, 161,968,021.20 and 27,199,648.80

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Solution

The fourth proportional to 107,978,680.80, 161,968,021.20 and 27,199,648.80 is: 40,799,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,978,680.80 : 161,968,021.20 = 27,199,648.80 : x
  2. Step 2: Convert to fraction form
    107,978,680.80/161,968,021.20 = 27,199,648.80/x
  3. Step 3: Cross multiply
    107,978,680.80x = 161,968,021.20 × 27,199,648.80
  4. Step 4: Simplify right side
    107,978,680.80x = 4,405,473,293,470,954.50
  5. Step 5: Solve for x
    x = 4,405,473,293,470,954.50/107,978,680.80
  6. Step 6: Final answer
    x = 40,799,473.20

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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.