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Finding the Fourth Proportional to 206,286.59, 308,782.83 and 141,868.91

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Solution

The fourth proportional to 206,286.59, 308,782.83 and 141,868.91 is: 212,358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,286.59 : 308,782.83 = 141,868.91 : x
  2. Step 2: Convert to fraction form
    206,286.59/308,782.83 = 141,868.91/x
  3. Step 3: Cross multiply
    206,286.59x = 308,782.83 × 141,868.91
  4. Step 4: Simplify right side
    206,286.59x = 43,806,683,518.82
  5. Step 5: Solve for x
    x = 43,806,683,518.82/206,286.59
  6. Step 6: Final answer
    x = 212,358.37

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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.