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Finding the Fourth Proportional to 200,240, 300,243.36 and 87,915.68

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Solution

The fourth proportional to 200,240, 300,243.36 and 87,915.68 is: 131,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,240 : 300,243.36 = 87,915.68 : x
  2. Step 2: Convert to fraction form
    200,240/300,243.36 = 87,915.68/x
  3. Step 3: Cross multiply
    200,240x = 300,243.36 × 87,915.68
  4. Step 4: Simplify right side
    200,240x = 26,396,099,159.88
  5. Step 5: Solve for x
    x = 26,396,099,159.88/200,240
  6. Step 6: Final answer
    x = 131,822.31

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1.5x scale

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.