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Finding the Fourth Proportional to 107,817.60, 161,337.60 and 72,825.60

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Solution

The fourth proportional to 107,817.60, 161,337.60 and 72,825.60 is: 108,975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,817.60 : 161,337.60 = 72,825.60 : x
  2. Step 2: Convert to fraction form
    107,817.60/161,337.60 = 72,825.60/x
  3. Step 3: Cross multiply
    107,817.60x = 161,337.60 × 72,825.60
  4. Step 4: Simplify right side
    107,817.60x = 11,749,507,522.56
  5. Step 5: Solve for x
    x = 11,749,507,522.56/107,817.60
  6. Step 6: Final answer
    x = 108,975.78

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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.