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Finding the Fourth Proportional to 208,634.94, 312,814.14 and 75,497.88

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Solution

The fourth proportional to 208,634.94, 312,814.14 and 75,497.88 is: 113,196.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,634.94 : 312,814.14 = 75,497.88 : x
  2. Step 2: Convert to fraction form
    208,634.94/312,814.14 = 75,497.88/x
  3. Step 3: Cross multiply
    208,634.94x = 312,814.14 × 75,497.88
  4. Step 4: Simplify right side
    208,634.94x = 23,616,804,404.02
  5. Step 5: Solve for x
    x = 23,616,804,404.02/208,634.94
  6. Step 6: Final answer
    x = 113,196.78

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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.