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Finding the Fourth Proportional to 201,357.80, 302,036.70 and 82,968.20

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Solution

The fourth proportional to 201,357.80, 302,036.70 and 82,968.20 is: 124,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,357.80 : 302,036.70 = 82,968.20 : x
  2. Step 2: Convert to fraction form
    201,357.80/302,036.70 = 82,968.20/x
  3. Step 3: Cross multiply
    201,357.80x = 302,036.70 × 82,968.20
  4. Step 4: Simplify right side
    201,357.80x = 25,059,441,332.94
  5. Step 5: Solve for x
    x = 25,059,441,332.94/201,357.80
  6. Step 6: Final answer
    x = 124,452.30

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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.