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Finding the Fourth Proportional to 107,930.80, 161,723.40 and 70,951.60

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Solution

The fourth proportional to 107,930.80, 161,723.40 and 70,951.60 is: 106,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,930.80 : 161,723.40 = 70,951.60 : x
  2. Step 2: Convert to fraction form
    107,930.80/161,723.40 = 70,951.60/x
  3. Step 3: Cross multiply
    107,930.80x = 161,723.40 × 70,951.60
  4. Step 4: Simplify right side
    107,930.80x = 11,474,533,987.44
  5. Step 5: Solve for x
    x = 11,474,533,987.44/107,930.80
  6. Step 6: Final answer
    x = 106,313.80

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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.