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Finding the Fourth Proportional to 206,013.78, 308,466.98 and 130,726.31

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Solution

The fourth proportional to 206,013.78, 308,466.98 and 130,726.31 is: 195,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,013.78 : 308,466.98 = 130,726.31 : x
  2. Step 2: Convert to fraction form
    206,013.78/308,466.98 = 130,726.31/x
  3. Step 3: Cross multiply
    206,013.78x = 308,466.98 × 130,726.31
  4. Step 4: Simplify right side
    206,013.78x = 40,324,749,081.84
  5. Step 5: Solve for x
    x = 40,324,749,081.84/206,013.78
  6. Step 6: Final answer
    x = 195,738.12

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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.