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Finding the Fourth Proportional to 143,645.88, 214,784.76 and 131,097.96

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Solution

The fourth proportional to 143,645.88, 214,784.76 and 131,097.96 is: 196,022.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,645.88 : 214,784.76 = 131,097.96 : x
  2. Step 2: Convert to fraction form
    143,645.88/214,784.76 = 131,097.96/x
  3. Step 3: Cross multiply
    143,645.88x = 214,784.76 × 131,097.96
  4. Step 4: Simplify right side
    143,645.88x = 28,157,843,875.09
  5. Step 5: Solve for x
    x = 28,157,843,875.09/143,645.88
  6. Step 6: Final answer
    x = 196,022.63

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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.