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Finding the Fourth Proportional to 201,065.20, 301,767.90 and 82,821.40

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Solution

The fourth proportional to 201,065.20, 301,767.90 and 82,821.40 is: 124,302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,065.20 : 301,767.90 = 82,821.40 : x
  2. Step 2: Convert to fraction form
    201,065.20/301,767.90 = 82,821.40/x
  3. Step 3: Cross multiply
    201,065.20x = 301,767.90 × 82,821.40
  4. Step 4: Simplify right side
    201,065.20x = 24,992,839,953.06
  5. Step 5: Solve for x
    x = 24,992,839,953.06/201,065.20
  6. Step 6: Final answer
    x = 124,302.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.