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Finding the Fourth Proportional to 200,442.37, 300,663.28 and 82,113.91

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Solution

The fourth proportional to 200,442.37, 300,663.28 and 82,113.91 is: 123,170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,442.37 : 300,663.28 = 82,113.91 : x
  2. Step 2: Convert to fraction form
    200,442.37/300,663.28 = 82,113.91/x
  3. Step 3: Cross multiply
    200,442.37x = 300,663.28 × 82,113.91
  4. Step 4: Simplify right side
    200,442.37x = 24,688,637,514.22
  5. Step 5: Solve for x
    x = 24,688,637,514.22/200,442.37
  6. Step 6: Final answer
    x = 123,170.75

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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.