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Finding the Fourth Proportional to 275,812.20, 413,710.07 and 76,144.77

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Solution

The fourth proportional to 275,812.20, 413,710.07 and 76,144.77 is: 114,214.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,812.20 : 413,710.07 = 76,144.77 : x
  2. Step 2: Convert to fraction form
    275,812.20/413,710.07 = 76,144.77/x
  3. Step 3: Cross multiply
    275,812.20x = 413,710.07 × 76,144.77
  4. Step 4: Simplify right side
    275,812.20x = 31,501,857,746.11
  5. Step 5: Solve for x
    x = 31,501,857,746.11/275,812.20
  6. Step 6: Final answer
    x = 114,214.88

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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.