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Finding the Fourth Proportional to 207,891.92, 311,699.64 and 114,441.68

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Solution

The fourth proportional to 207,891.92, 311,699.64 and 114,441.68 is: 171,586.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,891.92 : 311,699.64 = 114,441.68 : x
  2. Step 2: Convert to fraction form
    207,891.92/311,699.64 = 114,441.68/x
  3. Step 3: Cross multiply
    207,891.92x = 311,699.64 × 114,441.68
  4. Step 4: Simplify right side
    207,891.92x = 35,671,430,457.00
  5. Step 5: Solve for x
    x = 35,671,430,457.00/207,891.92
  6. Step 6: Final answer
    x = 171,586.42

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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.