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Finding the Fourth Proportional to 206,182.05, 308,748.05 and 135,848.13

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Solution

The fourth proportional to 206,182.05, 308,748.05 and 135,848.13 is: 203,426.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,182.05 : 308,748.05 = 135,848.13 : x
  2. Step 2: Convert to fraction form
    206,182.05/308,748.05 = 135,848.13/x
  3. Step 3: Cross multiply
    206,182.05x = 308,748.05 × 135,848.13
  4. Step 4: Simplify right side
    206,182.05x = 41,942,845,233.65
  5. Step 5: Solve for x
    x = 41,942,845,233.65/206,182.05
  6. Step 6: Final answer
    x = 203,426.27

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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.