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Finding the Fourth Proportional to 201,116.80, 301,784.55 and 82,800.10

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Solution

The fourth proportional to 201,116.80, 301,784.55 and 82,800.10 is: 124,245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,116.80 : 301,784.55 = 82,800.10 : x
  2. Step 2: Convert to fraction form
    201,116.80/301,784.55 = 82,800.10/x
  3. Step 3: Cross multiply
    201,116.80x = 301,784.55 × 82,800.10
  4. Step 4: Simplify right side
    201,116.80x = 24,987,790,918.46
  5. Step 5: Solve for x
    x = 24,987,790,918.46/201,116.80
  6. Step 6: Final answer
    x = 124,245.17

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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.