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Finding the Fourth Proportional to 143,261.81, 214,597.43 and 83,917.57

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Solution

The fourth proportional to 143,261.81, 214,597.43 and 83,917.57 is: 125,703.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,261.81 : 214,597.43 = 83,917.57 : x
  2. Step 2: Convert to fraction form
    143,261.81/214,597.43 = 83,917.57/x
  3. Step 3: Cross multiply
    143,261.81x = 214,597.43 × 83,917.57
  4. Step 4: Simplify right side
    143,261.81x = 18,008,494,853.85
  5. Step 5: Solve for x
    x = 18,008,494,853.85/143,261.81
  6. Step 6: Final answer
    x = 125,703.39

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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.