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Finding the Fourth Proportional to 206,042.73, 309,064.91 and 72,923.01

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Solution

The fourth proportional to 206,042.73, 309,064.91 and 72,923.01 is: 109,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,042.73 : 309,064.91 = 72,923.01 : x
  2. Step 2: Convert to fraction form
    206,042.73/309,064.91 = 72,923.01/x
  3. Step 3: Cross multiply
    206,042.73x = 309,064.91 × 72,923.01
  4. Step 4: Simplify right side
    206,042.73x = 22,537,943,157.96
  5. Step 5: Solve for x
    x = 22,537,943,157.96/206,042.73
  6. Step 6: Final answer
    x = 109,384.80

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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.