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Finding the Fourth Proportional to 143,437, 197,943.06 and 83,821

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Solution

The fourth proportional to 143,437, 197,943.06 and 83,821 is: 115,672.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,437 : 197,943.06 = 83,821 : x
  2. Step 2: Convert to fraction form
    143,437/197,943.06 = 83,821/x
  3. Step 3: Cross multiply
    143,437x = 197,943.06 × 83,821
  4. Step 4: Simplify right side
    143,437x = 16,591,785,232.26
  5. Step 5: Solve for x
    x = 16,591,785,232.26/143,437
  6. Step 6: Final answer
    x = 115,672.98

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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.