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Finding the Fourth Proportional to 206,265.63, 309,398.69 and 56,507.21

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Solution

The fourth proportional to 206,265.63, 309,398.69 and 56,507.21 is: 84,760.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,265.63 : 309,398.69 = 56,507.21 : x
  2. Step 2: Convert to fraction form
    206,265.63/309,398.69 = 56,507.21/x
  3. Step 3: Cross multiply
    206,265.63x = 309,398.69 × 56,507.21
  4. Step 4: Simplify right side
    206,265.63x = 17,483,256,749.55
  5. Step 5: Solve for x
    x = 17,483,256,749.55/206,265.63
  6. Step 6: Final answer
    x = 84,760.88

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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.