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Finding the Fourth Proportional to 65,420.28, 98,119.89 and 18,662.22

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Solution

The fourth proportional to 65,420.28, 98,119.89 and 18,662.22 is: 27,990.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,420.28 : 98,119.89 = 18,662.22 : x
  2. Step 2: Convert to fraction form
    65,420.28/98,119.89 = 18,662.22/x
  3. Step 3: Cross multiply
    65,420.28x = 98,119.89 × 18,662.22
  4. Step 4: Simplify right side
    65,420.28x = 1,831,134,973.56
  5. Step 5: Solve for x
    x = 1,831,134,973.56/65,420.28
  6. Step 6: Final answer
    x = 27,990.33

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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.