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Finding the Fourth Proportional to 206,537, 285,024.18 and 120,493.64

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Solution

The fourth proportional to 206,537, 285,024.18 and 120,493.64 is: 166,283.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,537 : 285,024.18 = 120,493.64 : x
  2. Step 2: Convert to fraction form
    206,537/285,024.18 = 120,493.64/x
  3. Step 3: Cross multiply
    206,537x = 285,024.18 × 120,493.64
  4. Step 4: Simplify right side
    206,537x = 34,343,600,936.22
  5. Step 5: Solve for x
    x = 34,343,600,936.22/206,537
  6. Step 6: Final answer
    x = 166,283.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.