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Finding the Fourth Proportional to 201,816, 278,532.81 and 130,403.70

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Solution

The fourth proportional to 201,816, 278,532.81 and 130,403.70 is: 179,974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,816 : 278,532.81 = 130,403.70 : x
  2. Step 2: Convert to fraction form
    201,816/278,532.81 = 130,403.70/x
  3. Step 3: Cross multiply
    201,816x = 278,532.81 × 130,403.70
  4. Step 4: Simplify right side
    201,816x = 36,321,708,995.40
  5. Step 5: Solve for x
    x = 36,321,708,995.40/201,816
  6. Step 6: Final answer
    x = 179,974.38

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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.