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Finding the Fourth Proportional to 275,812.45, 413,710.44 and 76,145.02

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Solution

The fourth proportional to 275,812.45, 413,710.44 and 76,145.02 is: 114,215.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,812.45 : 413,710.44 = 76,145.02 : x
  2. Step 2: Convert to fraction form
    275,812.45/413,710.44 = 76,145.02/x
  3. Step 3: Cross multiply
    275,812.45x = 413,710.44 × 76,145.02
  4. Step 4: Simplify right side
    275,812.45x = 31,501,989,728.01
  5. Step 5: Solve for x
    x = 31,501,989,728.01/275,812.45
  6. Step 6: Final answer
    x = 114,215.26

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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.