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Finding the Fourth Proportional to 143,361.40, 214,969.20 and 84,215.20

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Solution

The fourth proportional to 143,361.40, 214,969.20 and 84,215.20 is: 126,279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,361.40 : 214,969.20 = 84,215.20 : x
  2. Step 2: Convert to fraction form
    143,361.40/214,969.20 = 84,215.20/x
  3. Step 3: Cross multiply
    143,361.40x = 214,969.20 × 84,215.20
  4. Step 4: Simplify right side
    143,361.40x = 18,103,674,171.84
  5. Step 5: Solve for x
    x = 18,103,674,171.84/143,361.40
  6. Step 6: Final answer
    x = 126,279.98

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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.