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Finding the Fourth Proportional to 143,263.25, 214,902 and 54,523.63

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Solution

The fourth proportional to 143,263.25, 214,902 and 54,523.63 is: 81,788.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,263.25 : 214,902 = 54,523.63 : x
  2. Step 2: Convert to fraction form
    143,263.25/214,902 = 54,523.63/x
  3. Step 3: Cross multiply
    143,263.25x = 214,902 × 54,523.63
  4. Step 4: Simplify right side
    143,263.25x = 11,717,236,059.75
  5. Step 5: Solve for x
    x = 11,717,236,059.75/143,263.25
  6. Step 6: Final answer
    x = 81,788.15

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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.