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Finding the Fourth Proportional to 200,444.37, 300,666.28 and 82,115.91

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Solution

The fourth proportional to 200,444.37, 300,666.28 and 82,115.91 is: 123,173.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,444.37 : 300,666.28 = 82,115.91 : x
  2. Step 2: Convert to fraction form
    200,444.37/300,666.28 = 82,115.91/x
  3. Step 3: Cross multiply
    200,444.37x = 300,666.28 × 82,115.91
  4. Step 4: Simplify right side
    200,444.37x = 24,689,485,188.51
  5. Step 5: Solve for x
    x = 24,689,485,188.51/200,444.37
  6. Step 6: Final answer
    x = 123,173.75

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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.