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Finding the Fourth Proportional to 201,642.40, 278,515.83 and 147,842.20

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Solution

The fourth proportional to 201,642.40, 278,515.83 and 147,842.20 is: 204,205.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,642.40 : 278,515.83 = 147,842.20 : x
  2. Step 2: Convert to fraction form
    201,642.40/278,515.83 = 147,842.20/x
  3. Step 3: Cross multiply
    201,642.40x = 278,515.83 × 147,842.20
  4. Step 4: Simplify right side
    201,642.40x = 41,176,393,042.03
  5. Step 5: Solve for x
    x = 41,176,393,042.03/201,642.40
  6. Step 6: Final answer
    x = 204,205.03

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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.