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Finding the Fourth Proportional to 275,903.05, 413,862.32 and 76,223.47

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Solution

The fourth proportional to 275,903.05, 413,862.32 and 76,223.47 is: 114,337.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,903.05 : 413,862.32 = 76,223.47 : x
  2. Step 2: Convert to fraction form
    275,903.05/413,862.32 = 76,223.47/x
  3. Step 3: Cross multiply
    275,903.05x = 413,862.32 × 76,223.47
  4. Step 4: Simplify right side
    275,903.05x = 31,546,022,132.65
  5. Step 5: Solve for x
    x = 31,546,022,132.65/275,903.05
  6. Step 6: Final answer
    x = 114,337.34

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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.