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Finding the Fourth Proportional to 143,112.70, 214,669.80 and 83,906.86

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Solution

The fourth proportional to 143,112.70, 214,669.80 and 83,906.86 is: 125,860.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,112.70 : 214,669.80 = 83,906.86 : x
  2. Step 2: Convert to fraction form
    143,112.70/214,669.80 = 83,906.86/x
  3. Step 3: Cross multiply
    143,112.70x = 214,669.80 × 83,906.86
  4. Step 4: Simplify right side
    143,112.70x = 18,012,267,466.83
  5. Step 5: Solve for x
    x = 18,012,267,466.83/143,112.70
  6. Step 6: Final answer
    x = 125,860.72

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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.