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Finding the Fourth Proportional to 200,981.64, 301,368.78 and 82,630.92

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Solution

The fourth proportional to 200,981.64, 301,368.78 and 82,630.92 is: 123,903.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,981.64 : 301,368.78 = 82,630.92 : x
  2. Step 2: Convert to fraction form
    200,981.64/301,368.78 = 82,630.92/x
  3. Step 3: Cross multiply
    200,981.64x = 301,368.78 × 82,630.92
  4. Step 4: Simplify right side
    200,981.64x = 24,902,379,550.68
  5. Step 5: Solve for x
    x = 24,902,379,550.68/200,981.64
  6. Step 6: Final answer
    x = 123,903.75

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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.