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Finding the Fourth Proportional to 206,531.28, 309,804.50 and 56,783.30

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Solution

The fourth proportional to 206,531.28, 309,804.50 and 56,783.30 is: 85,177.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,531.28 : 309,804.50 = 56,783.30 : x
  2. Step 2: Convert to fraction form
    206,531.28/309,804.50 = 56,783.30/x
  3. Step 3: Cross multiply
    206,531.28x = 309,804.50 × 56,783.30
  4. Step 4: Simplify right side
    206,531.28x = 17,591,721,864.85
  5. Step 5: Solve for x
    x = 17,591,721,864.85/206,531.28
  6. Step 6: Final answer
    x = 85,177.03

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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.