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Finding the Fourth Proportional to 200,165.33, 300,078.42 and 87,760.36

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Solution

The fourth proportional to 200,165.33, 300,078.42 and 87,760.36 is: 131,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,165.33 : 300,078.42 = 87,760.36 : x
  2. Step 2: Convert to fraction form
    200,165.33/300,078.42 = 87,760.36/x
  3. Step 3: Cross multiply
    200,165.33x = 300,078.42 × 87,760.36
  4. Step 4: Simplify right side
    200,165.33x = 26,334,990,707.08
  5. Step 5: Solve for x
    x = 26,334,990,707.08/200,165.33
  6. Step 6: Final answer
    x = 131,566.20

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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.