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Finding the Fourth Proportional to 107,380.80, 161,119.80 and 51,199.20

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Solution

The fourth proportional to 107,380.80, 161,119.80 and 51,199.20 is: 76,821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,380.80 : 161,119.80 = 51,199.20 : x
  2. Step 2: Convert to fraction form
    107,380.80/161,119.80 = 51,199.20/x
  3. Step 3: Cross multiply
    107,380.80x = 161,119.80 × 51,199.20
  4. Step 4: Simplify right side
    107,380.80x = 8,249,204,864.16
  5. Step 5: Solve for x
    x = 8,249,204,864.16/107,380.80
  6. Step 6: Final answer
    x = 76,821.97

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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.