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Finding the Fourth Proportional to 107,853.20, 161,812.20 and 76,749.20

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Solution

The fourth proportional to 107,853.20, 161,812.20 and 76,749.20 is: 115,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,853.20 : 161,812.20 = 76,749.20 : x
  2. Step 2: Convert to fraction form
    107,853.20/161,812.20 = 76,749.20/x
  3. Step 3: Cross multiply
    107,853.20x = 161,812.20 × 76,749.20
  4. Step 4: Simplify right side
    107,853.20x = 12,418,956,900.24
  5. Step 5: Solve for x
    x = 12,418,956,900.24/107,853.20
  6. Step 6: Final answer
    x = 115,146.86

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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.