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Finding the Fourth Proportional to 200,676.15, 300,802.11 and 74,235.20

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Solution

The fourth proportional to 200,676.15, 300,802.11 and 74,235.20 is: 111,274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,676.15 : 300,802.11 = 74,235.20 : x
  2. Step 2: Convert to fraction form
    200,676.15/300,802.11 = 74,235.20/x
  3. Step 3: Cross multiply
    200,676.15x = 300,802.11 × 74,235.20
  4. Step 4: Simplify right side
    200,676.15x = 22,330,103,292.26
  5. Step 5: Solve for x
    x = 22,330,103,292.26/200,676.15
  6. Step 6: Final answer
    x = 111,274.33

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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.