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Finding the Fourth Proportional to 206,215.62, 308,798.40 and 135,881.70

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Solution

The fourth proportional to 206,215.62, 308,798.40 and 135,881.70 is: 203,476.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,215.62 : 308,798.40 = 135,881.70 : x
  2. Step 2: Convert to fraction form
    206,215.62/308,798.40 = 135,881.70/x
  3. Step 3: Cross multiply
    206,215.62x = 308,798.40 × 135,881.70
  4. Step 4: Simplify right side
    206,215.62x = 41,960,051,549.28
  5. Step 5: Solve for x
    x = 41,960,051,549.28/206,215.62
  6. Step 6: Final answer
    x = 203,476.59

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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.