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Finding the Fourth Proportional to 207,617, 286,511.78 and 118,193

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Solution

The fourth proportional to 207,617, 286,511.78 and 118,193 is: 163,106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,617 : 286,511.78 = 118,193 : x
  2. Step 2: Convert to fraction form
    207,617/286,511.78 = 118,193/x
  3. Step 3: Cross multiply
    207,617x = 286,511.78 × 118,193
  4. Step 4: Simplify right side
    207,617x = 33,863,686,813.54
  5. Step 5: Solve for x
    x = 33,863,686,813.54/207,617
  6. Step 6: Final answer
    x = 163,106.52

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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.