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Finding the Fourth Proportional to 259,970.42, 389,969.48 and 82,491.32

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Solution

The fourth proportional to 259,970.42, 389,969.48 and 82,491.32 is: 123,741.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,970.42 : 389,969.48 = 82,491.32 : x
  2. Step 2: Convert to fraction form
    259,970.42/389,969.48 = 82,491.32/x
  3. Step 3: Cross multiply
    259,970.42x = 389,969.48 × 82,491.32
  4. Step 4: Simplify right side
    259,970.42x = 32,169,097,164.91
  5. Step 5: Solve for x
    x = 32,169,097,164.91/259,970.42
  6. Step 6: Final answer
    x = 123,741.37

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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.