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Finding the Fourth Proportional to 259,940.81, 358,718.36 and 140,708.81

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Solution

The fourth proportional to 259,940.81, 358,718.36 and 140,708.81 is: 194,178.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,940.81 : 358,718.36 = 140,708.81 : x
  2. Step 2: Convert to fraction form
    259,940.81/358,718.36 = 140,708.81/x
  3. Step 3: Cross multiply
    259,940.81x = 358,718.36 × 140,708.81
  4. Step 4: Simplify right side
    259,940.81x = 50,474,833,754.00
  5. Step 5: Solve for x
    x = 50,474,833,754.00/259,940.81
  6. Step 6: Final answer
    x = 194,178.18

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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.