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Finding the Fourth Proportional to 143,164.36, 214,774.21 and 54,410.95

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Solution

The fourth proportional to 143,164.36, 214,774.21 and 54,410.95 is: 81,626.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,164.36 : 214,774.21 = 54,410.95 : x
  2. Step 2: Convert to fraction form
    143,164.36/214,774.21 = 54,410.95/x
  3. Step 3: Cross multiply
    143,164.36x = 214,774.21 × 54,410.95
  4. Step 4: Simplify right side
    143,164.36x = 11,686,068,100.12
  5. Step 5: Solve for x
    x = 11,686,068,100.12/143,164.36
  6. Step 6: Final answer
    x = 81,626.94

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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.