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Finding the Fourth Proportional to 149,848.71, 206,791.21 and 82,780.71

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Solution

The fourth proportional to 149,848.71, 206,791.21 and 82,780.71 is: 114,237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,848.71 : 206,791.21 = 82,780.71 : x
  2. Step 2: Convert to fraction form
    149,848.71/206,791.21 = 82,780.71/x
  3. Step 3: Cross multiply
    149,848.71x = 206,791.21 × 82,780.71
  4. Step 4: Simplify right side
    149,848.71x = 17,118,323,185.56
  5. Step 5: Solve for x
    x = 17,118,323,185.56/149,848.71
  6. Step 6: Final answer
    x = 114,237.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.