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Finding the Fourth Proportional to 206,732.99, 309,902.64 and 66,393.20

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Solution

The fourth proportional to 206,732.99, 309,902.64 and 66,393.20 is: 99,526.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,732.99 : 309,902.64 = 66,393.20 : x
  2. Step 2: Convert to fraction form
    206,732.99/309,902.64 = 66,393.20/x
  3. Step 3: Cross multiply
    206,732.99x = 309,902.64 × 66,393.20
  4. Step 4: Simplify right side
    206,732.99x = 20,575,426,408.53
  5. Step 5: Solve for x
    x = 20,575,426,408.53/206,732.99
  6. Step 6: Final answer
    x = 99,526.58

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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.