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Finding the Fourth Proportional to 143,086.88, 214,542.84 and 68,229.92

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Solution

The fourth proportional to 143,086.88, 214,542.84 and 68,229.92 is: 102,303.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,086.88 : 214,542.84 = 68,229.92 : x
  2. Step 2: Convert to fraction form
    143,086.88/214,542.84 = 68,229.92/x
  3. Step 3: Cross multiply
    143,086.88x = 214,542.84 × 68,229.92
  4. Step 4: Simplify right side
    143,086.88x = 14,638,240,809.77
  5. Step 5: Solve for x
    x = 14,638,240,809.77/143,086.88
  6. Step 6: Final answer
    x = 102,303.17

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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.