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Finding the Fourth Proportional to 136,465.92, 188,363.52 and 86,198.40

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Solution

The fourth proportional to 136,465.92, 188,363.52 and 86,198.40 is: 118,979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,465.92 : 188,363.52 = 86,198.40 : x
  2. Step 2: Convert to fraction form
    136,465.92/188,363.52 = 86,198.40/x
  3. Step 3: Cross multiply
    136,465.92x = 188,363.52 × 86,198.40
  4. Step 4: Simplify right side
    136,465.92x = 16,236,634,042.37
  5. Step 5: Solve for x
    x = 16,236,634,042.37/136,465.92
  6. Step 6: Final answer
    x = 118,979.41

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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.