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Finding the Fourth Proportional to 68,140.98, 102,212.37 and 21,393.86

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Solution

The fourth proportional to 68,140.98, 102,212.37 and 21,393.86 is: 32,091.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,140.98 : 102,212.37 = 21,393.86 : x
  2. Step 2: Convert to fraction form
    68,140.98/102,212.37 = 21,393.86/x
  3. Step 3: Cross multiply
    68,140.98x = 102,212.37 × 21,393.86
  4. Step 4: Simplify right side
    68,140.98x = 2,186,716,622.99
  5. Step 5: Solve for x
    x = 2,186,716,622.99/68,140.98
  6. Step 6: Final answer
    x = 32,091.07

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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.