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Finding the Fourth Proportional to 206,529.76, 309,735.06 and 56,774.94

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Solution

The fourth proportional to 206,529.76, 309,735.06 and 56,774.94 is: 85,146.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,529.76 : 309,735.06 = 56,774.94 : x
  2. Step 2: Convert to fraction form
    206,529.76/309,735.06 = 56,774.94/x
  3. Step 3: Cross multiply
    206,529.76x = 309,735.06 × 56,774.94
  4. Step 4: Simplify right side
    206,529.76x = 17,585,189,447.40
  5. Step 5: Solve for x
    x = 17,585,189,447.40/206,529.76
  6. Step 6: Final answer
    x = 85,146.03

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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.