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Finding the Fourth Proportional to 208,781.36, 313,338.06 and 75,699.68

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Solution

The fourth proportional to 208,781.36, 313,338.06 and 75,699.68 is: 113,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,781.36 : 313,338.06 = 75,699.68 : x
  2. Step 2: Convert to fraction form
    208,781.36/313,338.06 = 75,699.68/x
  3. Step 3: Cross multiply
    208,781.36x = 313,338.06 × 75,699.68
  4. Step 4: Simplify right side
    208,781.36x = 23,719,590,873.82
  5. Step 5: Solve for x
    x = 23,719,590,873.82/208,781.36
  6. Step 6: Final answer
    x = 113,609.72

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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.