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Finding the Fourth Proportional to 200,160.72, 300,228.12 and 75,498.48

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Solution

The fourth proportional to 200,160.72, 300,228.12 and 75,498.48 is: 113,242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,160.72 : 300,228.12 = 75,498.48 : x
  2. Step 2: Convert to fraction form
    200,160.72/300,228.12 = 75,498.48/x
  3. Step 3: Cross multiply
    200,160.72x = 300,228.12 × 75,498.48
  4. Step 4: Simplify right side
    200,160.72x = 22,666,766,713.26
  5. Step 5: Solve for x
    x = 22,666,766,713.26/200,160.72
  6. Step 6: Final answer
    x = 113,242.83

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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.