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Finding the Fourth Proportional to 147,614, 203,707.32 and 80,546

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Solution

The fourth proportional to 147,614, 203,707.32 and 80,546 is: 111,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,614 : 203,707.32 = 80,546 : x
  2. Step 2: Convert to fraction form
    147,614/203,707.32 = 80,546/x
  3. Step 3: Cross multiply
    147,614x = 203,707.32 × 80,546
  4. Step 4: Simplify right side
    147,614x = 16,407,809,796.72
  5. Step 5: Solve for x
    x = 16,407,809,796.72/147,614
  6. Step 6: Final answer
    x = 111,153.48

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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.