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Finding the Fourth Proportional to 200,122.20, 300,353.40 and 81,878.40

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Solution

The fourth proportional to 200,122.20, 300,353.40 and 81,878.40 is: 122,887.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,122.20 : 300,353.40 = 81,878.40 : x
  2. Step 2: Convert to fraction form
    200,122.20/300,353.40 = 81,878.40/x
  3. Step 3: Cross multiply
    200,122.20x = 300,353.40 × 81,878.40
  4. Step 4: Simplify right side
    200,122.20x = 24,592,455,826.56
  5. Step 5: Solve for x
    x = 24,592,455,826.56/200,122.20
  6. Step 6: Final answer
    x = 122,887.20

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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.