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Finding the Fourth Proportional to 136,477.28, 188,352.67 and 82,047.08

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Solution

The fourth proportional to 136,477.28, 188,352.67 and 82,047.08 is: 113,233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,477.28 : 188,352.67 = 82,047.08 : x
  2. Step 2: Convert to fraction form
    136,477.28/188,352.67 = 82,047.08/x
  3. Step 3: Cross multiply
    136,477.28x = 188,352.67 × 82,047.08
  4. Step 4: Simplify right side
    136,477.28x = 15,453,785,436.82
  5. Step 5: Solve for x
    x = 15,453,785,436.82/136,477.28
  6. Step 6: Final answer
    x = 113,233.39

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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.