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Finding the Fourth Proportional to 107,858.40, 161,842.30 and 72,724.26

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Solution

The fourth proportional to 107,858.40, 161,842.30 and 72,724.26 is: 109,123.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,858.40 : 161,842.30 = 72,724.26 : x
  2. Step 2: Convert to fraction form
    107,858.40/161,842.30 = 72,724.26/x
  3. Step 3: Cross multiply
    107,858.40x = 161,842.30 × 72,724.26
  4. Step 4: Simplify right side
    107,858.40x = 11,769,861,504.20
  5. Step 5: Solve for x
    x = 11,769,861,504.20/107,858.40
  6. Step 6: Final answer
    x = 109,123.27

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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.