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Finding the Fourth Proportional to 107,847.60, 161,771.40 and 81,409.20

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Solution

The fourth proportional to 107,847.60, 161,771.40 and 81,409.20 is: 122,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,847.60 : 161,771.40 = 81,409.20 : x
  2. Step 2: Convert to fraction form
    107,847.60/161,771.40 = 81,409.20/x
  3. Step 3: Cross multiply
    107,847.60x = 161,771.40 × 81,409.20
  4. Step 4: Simplify right side
    107,847.60x = 13,169,680,256.88
  5. Step 5: Solve for x
    x = 13,169,680,256.88/107,847.60
  6. Step 6: Final answer
    x = 122,113.80

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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.