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Finding the Fourth Proportional to 201,821, 278,521.62 and 112,397

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Solution

The fourth proportional to 201,821, 278,521.62 and 112,397 is: 155,112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,821 : 278,521.62 = 112,397 : x
  2. Step 2: Convert to fraction form
    201,821/278,521.62 = 112,397/x
  3. Step 3: Cross multiply
    201,821x = 278,521.62 × 112,397
  4. Step 4: Simplify right side
    201,821x = 31,304,994,523.14
  5. Step 5: Solve for x
    x = 31,304,994,523.14/201,821
  6. Step 6: Final answer
    x = 155,112.67

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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.