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Finding the Fourth Proportional to 208,067.16, 312,113.70 and 83,391.96

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Solution

The fourth proportional to 208,067.16, 312,113.70 and 83,391.96 is: 125,093.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,067.16 : 312,113.70 = 83,391.96 : x
  2. Step 2: Convert to fraction form
    208,067.16/312,113.70 = 83,391.96/x
  3. Step 3: Cross multiply
    208,067.16x = 312,113.70 × 83,391.96
  4. Step 4: Simplify right side
    208,067.16x = 26,027,773,185.85
  5. Step 5: Solve for x
    x = 26,027,773,185.85/208,067.16
  6. Step 6: Final answer
    x = 125,093.13

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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.