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Finding the Fourth Proportional to 68,147.93, 102,238.38 and 21,400.81

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Solution

The fourth proportional to 68,147.93, 102,238.38 and 21,400.81 is: 32,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,147.93 : 102,238.38 = 21,400.81 : x
  2. Step 2: Convert to fraction form
    68,147.93/102,238.38 = 21,400.81/x
  3. Step 3: Cross multiply
    68,147.93x = 102,238.38 × 21,400.81
  4. Step 4: Simplify right side
    68,147.93x = 2,187,983,889.49
  5. Step 5: Solve for x
    x = 2,187,983,889.49/68,147.93
  6. Step 6: Final answer
    x = 32,106.39

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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.