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Finding the Fourth Proportional to 259,935, 358,711.44 and 140,703

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Solution

The fourth proportional to 259,935, 358,711.44 and 140,703 is: 194,170.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,935 : 358,711.44 = 140,703 : x
  2. Step 2: Convert to fraction form
    259,935/358,711.44 = 140,703/x
  3. Step 3: Cross multiply
    259,935x = 358,711.44 × 140,703
  4. Step 4: Simplify right side
    259,935x = 50,471,775,742.32
  5. Step 5: Solve for x
    x = 50,471,775,742.32/259,935
  6. Step 6: Final answer
    x = 194,170.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.