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Finding the Fourth Proportional to 206,072.68, 308,602.14 and 100,551.40

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Solution

The fourth proportional to 206,072.68, 308,602.14 and 100,551.40 is: 150,579.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,072.68 : 308,602.14 = 100,551.40 : x
  2. Step 2: Convert to fraction form
    206,072.68/308,602.14 = 100,551.40/x
  3. Step 3: Cross multiply
    206,072.68x = 308,602.14 × 100,551.40
  4. Step 4: Simplify right side
    206,072.68x = 31,030,377,220.00
  5. Step 5: Solve for x
    x = 31,030,377,220.00/206,072.68
  6. Step 6: Final answer
    x = 150,579.77

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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.