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Finding the Fourth Proportional to 84,138.49, 126,180.32 and 27,963.51

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Solution

The fourth proportional to 84,138.49, 126,180.32 and 27,963.51 is: 41,936.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,138.49 : 126,180.32 = 27,963.51 : x
  2. Step 2: Convert to fraction form
    84,138.49/126,180.32 = 27,963.51/x
  3. Step 3: Cross multiply
    84,138.49x = 126,180.32 × 27,963.51
  4. Step 4: Simplify right side
    84,138.49x = 3,528,444,009.22
  5. Step 5: Solve for x
    x = 3,528,444,009.22/84,138.49
  6. Step 6: Final answer
    x = 41,936.15

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1.5x scale

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.