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Finding the Fourth Proportional to 206,051.80, 308,732.10 and 100,643.80

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Solution

The fourth proportional to 206,051.80, 308,732.10 and 100,643.80 is: 150,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,051.80 : 308,732.10 = 100,643.80 : x
  2. Step 2: Convert to fraction form
    206,051.80/308,732.10 = 100,643.80/x
  3. Step 3: Cross multiply
    206,051.80x = 308,732.10 × 100,643.80
  4. Step 4: Simplify right side
    206,051.80x = 31,071,971,725.98
  5. Step 5: Solve for x
    x = 31,071,971,725.98/206,051.80
  6. Step 6: Final answer
    x = 150,796.90

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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.