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Finding the Fourth Proportional to 143,454.33, 197,991 and 83,014.56

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Solution

The fourth proportional to 143,454.33, 197,991 and 83,014.56 is: 114,574.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,454.33 : 197,991 = 83,014.56 : x
  2. Step 2: Convert to fraction form
    143,454.33/197,991 = 83,014.56/x
  3. Step 3: Cross multiply
    143,454.33x = 197,991 × 83,014.56
  4. Step 4: Simplify right side
    143,454.33x = 16,436,135,748.96
  5. Step 5: Solve for x
    x = 16,436,135,748.96/143,454.33
  6. Step 6: Final answer
    x = 114,574.00

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1.5x scale

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.