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Finding the Fourth Proportional to 208,855.82, 312,862.37 and 96,379.79

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Solution

The fourth proportional to 208,855.82, 312,862.37 and 96,379.79 is: 144,375.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,855.82 : 312,862.37 = 96,379.79 : x
  2. Step 2: Convert to fraction form
    208,855.82/312,862.37 = 96,379.79/x
  3. Step 3: Cross multiply
    208,855.82x = 312,862.37 × 96,379.79
  4. Step 4: Simplify right side
    208,855.82x = 30,153,607,473.29
  5. Step 5: Solve for x
    x = 30,153,607,473.29/208,855.82
  6. Step 6: Final answer
    x = 144,375.24

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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.