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Finding the Fourth Proportional to 275,913.12, 413,804.07 and 76,229.13

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Solution

The fourth proportional to 275,913.12, 413,804.07 and 76,229.13 is: 114,325.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,913.12 : 413,804.07 = 76,229.13 : x
  2. Step 2: Convert to fraction form
    275,913.12/413,804.07 = 76,229.13/x
  3. Step 3: Cross multiply
    275,913.12x = 413,804.07 × 76,229.13
  4. Step 4: Simplify right side
    275,913.12x = 31,543,924,246.56
  5. Step 5: Solve for x
    x = 31,543,924,246.56/275,913.12
  6. Step 6: Final answer
    x = 114,325.57

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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.