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Finding the Fourth Proportional to 208,578.96, 312,681.24 and 75,427.92

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Solution

The fourth proportional to 208,578.96, 312,681.24 and 75,427.92 is: 113,074.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,578.96 : 312,681.24 = 75,427.92 : x
  2. Step 2: Convert to fraction form
    208,578.96/312,681.24 = 75,427.92/x
  3. Step 3: Cross multiply
    208,578.96x = 312,681.24 × 75,427.92
  4. Step 4: Simplify right side
    208,578.96x = 23,584,895,556.22
  5. Step 5: Solve for x
    x = 23,584,895,556.22/208,578.96
  6. Step 6: Final answer
    x = 113,074.18

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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.