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Finding the Fourth Proportional to 206,528.85, 309,757.50 and 56,733.48

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Solution

The fourth proportional to 206,528.85, 309,757.50 and 56,733.48 is: 85,090.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,528.85 : 309,757.50 = 56,733.48 : x
  2. Step 2: Convert to fraction form
    206,528.85/309,757.50 = 56,733.48/x
  3. Step 3: Cross multiply
    206,528.85x = 309,757.50 × 56,733.48
  4. Step 4: Simplify right side
    206,528.85x = 17,573,620,931.10
  5. Step 5: Solve for x
    x = 17,573,620,931.10/206,528.85
  6. Step 6: Final answer
    x = 85,090.39

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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.