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Finding the Fourth Proportional to 214,223.76, 321,112.76 and 71,963.46

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Solution

The fourth proportional to 214,223.76, 321,112.76 and 71,963.46 is: 107,870.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,223.76 : 321,112.76 = 71,963.46 : x
  2. Step 2: Convert to fraction form
    214,223.76/321,112.76 = 71,963.46/x
  3. Step 3: Cross multiply
    214,223.76x = 321,112.76 × 71,963.46
  4. Step 4: Simplify right side
    214,223.76x = 23,108,384,899.93
  5. Step 5: Solve for x
    x = 23,108,384,899.93/214,223.76
  6. Step 6: Final answer
    x = 107,870.32

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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.