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Finding the Fourth Proportional to 107,771.60, 161,657.40 and 82,859.60

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Solution

The fourth proportional to 107,771.60, 161,657.40 and 82,859.60 is: 124,289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,771.60 : 161,657.40 = 82,859.60 : x
  2. Step 2: Convert to fraction form
    107,771.60/161,657.40 = 82,859.60/x
  3. Step 3: Cross multiply
    107,771.60x = 161,657.40 × 82,859.60
  4. Step 4: Simplify right side
    107,771.60x = 13,394,867,501.04
  5. Step 5: Solve for x
    x = 13,394,867,501.04/107,771.60
  6. Step 6: Final answer
    x = 124,289.40

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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.