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Finding the Fourth Proportional to 200,133.76, 300,437.16 and 81,893.20

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Solution

The fourth proportional to 200,133.76, 300,437.16 and 81,893.20 is: 122,936.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,133.76 : 300,437.16 = 81,893.20 : x
  2. Step 2: Convert to fraction form
    200,133.76/300,437.16 = 81,893.20/x
  3. Step 3: Cross multiply
    200,133.76x = 300,437.16 × 81,893.20
  4. Step 4: Simplify right side
    200,133.76x = 24,603,760,431.31
  5. Step 5: Solve for x
    x = 24,603,760,431.31/200,133.76
  6. Step 6: Final answer
    x = 122,936.58

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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.