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Finding the Fourth Proportional to 142,224, 213,370.56 and 43,728

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Solution

The fourth proportional to 142,224, 213,370.56 and 43,728 is: 65,602.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,224 : 213,370.56 = 43,728 : x
  2. Step 2: Convert to fraction form
    142,224/213,370.56 = 43,728/x
  3. Step 3: Cross multiply
    142,224x = 213,370.56 × 43,728
  4. Step 4: Simplify right side
    142,224x = 9,330,267,847.68
  5. Step 5: Solve for x
    x = 9,330,267,847.68/142,224
  6. Step 6: Final answer
    x = 65,602.63

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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.