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Finding the Fourth Proportional to 259,561.32, 389,339.68 and 82,068.46

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Solution

The fourth proportional to 259,561.32, 389,339.68 and 82,068.46 is: 123,101.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,561.32 : 389,339.68 = 82,068.46 : x
  2. Step 2: Convert to fraction form
    259,561.32/389,339.68 = 82,068.46/x
  3. Step 3: Cross multiply
    259,561.32x = 389,339.68 × 82,068.46
  4. Step 4: Simplify right side
    259,561.32x = 31,952,507,954.49
  5. Step 5: Solve for x
    x = 31,952,507,954.49/259,561.32
  6. Step 6: Final answer
    x = 123,101.96

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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.