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Finding the Fourth Proportional to 200,098.24, 300,115.92 and 65,167.20

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Solution

The fourth proportional to 200,098.24, 300,115.92 and 65,167.20 is: 97,740.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,098.24 : 300,115.92 = 65,167.20 : x
  2. Step 2: Convert to fraction form
    200,098.24/300,115.92 = 65,167.20/x
  3. Step 3: Cross multiply
    200,098.24x = 300,115.92 × 65,167.20
  4. Step 4: Simplify right side
    200,098.24x = 19,557,714,181.82
  5. Step 5: Solve for x
    x = 19,557,714,181.82/200,098.24
  6. Step 6: Final answer
    x = 97,740.56

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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.