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Finding the Fourth Proportional to 149,796.87, 206,721.06 and 85,262.94

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Solution

The fourth proportional to 149,796.87, 206,721.06 and 85,262.94 is: 117,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,796.87 : 206,721.06 = 85,262.94 : x
  2. Step 2: Convert to fraction form
    149,796.87/206,721.06 = 85,262.94/x
  3. Step 3: Cross multiply
    149,796.87x = 206,721.06 × 85,262.94
  4. Step 4: Simplify right side
    149,796.87x = 17,625,645,335.52
  5. Step 5: Solve for x
    x = 17,625,645,335.52/149,796.87
  6. Step 6: Final answer
    x = 117,663.64

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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.