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Finding the Fourth Proportional to 68,145.83, 102,223.07 and 21,400.55

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Solution

The fourth proportional to 68,145.83, 102,223.07 and 21,400.55 is: 32,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,145.83 : 102,223.07 = 21,400.55 : x
  2. Step 2: Convert to fraction form
    68,145.83/102,223.07 = 21,400.55/x
  3. Step 3: Cross multiply
    68,145.83x = 102,223.07 × 21,400.55
  4. Step 4: Simplify right side
    68,145.83x = 2,187,629,920.69
  5. Step 5: Solve for x
    x = 2,187,629,920.69/68,145.83
  6. Step 6: Final answer
    x = 32,102.18

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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.