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Finding the Fourth Proportional to 208,566.19, 312,730.44 and 82,137.97

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Solution

The fourth proportional to 208,566.19, 312,730.44 and 82,137.97 is: 123,160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,566.19 : 312,730.44 = 82,137.97 : x
  2. Step 2: Convert to fraction form
    208,566.19/312,730.44 = 82,137.97/x
  3. Step 3: Cross multiply
    208,566.19x = 312,730.44 × 82,137.97
  4. Step 4: Simplify right side
    208,566.19x = 25,687,043,498.81
  5. Step 5: Solve for x
    x = 25,687,043,498.81/208,566.19
  6. Step 6: Final answer
    x = 123,160.15

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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.