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Finding the Fourth Proportional to 200,007.16, 300,011.03 and 81,678.50

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Solution

The fourth proportional to 200,007.16, 300,011.03 and 81,678.50 is: 122,517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,007.16 : 300,011.03 = 81,678.50 : x
  2. Step 2: Convert to fraction form
    200,007.16/300,011.03 = 81,678.50/x
  3. Step 3: Cross multiply
    200,007.16x = 300,011.03 × 81,678.50
  4. Step 4: Simplify right side
    200,007.16x = 24,504,450,913.86
  5. Step 5: Solve for x
    x = 24,504,450,913.86/200,007.16
  6. Step 6: Final answer
    x = 122,517.87

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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.