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Finding the Fourth Proportional to 143,214, 197,635.43 and 78,687.39

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Solution

The fourth proportional to 143,214, 197,635.43 and 78,687.39 is: 108,588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,214 : 197,635.43 = 78,687.39 : x
  2. Step 2: Convert to fraction form
    143,214/197,635.43 = 78,687.39/x
  3. Step 3: Cross multiply
    143,214x = 197,635.43 × 78,687.39
  4. Step 4: Simplify right side
    143,214x = 15,551,416,158.23
  5. Step 5: Solve for x
    x = 15,551,416,158.23/143,214
  6. Step 6: Final answer
    x = 108,588.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.