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Finding the Fourth Proportional to 275,777.32, 413,642.94 and 109,520.68

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Solution

The fourth proportional to 275,777.32, 413,642.94 and 109,520.68 is: 164,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,777.32 : 413,642.94 = 109,520.68 : x
  2. Step 2: Convert to fraction form
    275,777.32/413,642.94 = 109,520.68/x
  3. Step 3: Cross multiply
    275,777.32x = 413,642.94 × 109,520.68
  4. Step 4: Simplify right side
    275,777.32x = 45,302,456,066.00
  5. Step 5: Solve for x
    x = 45,302,456,066.00/275,777.32
  6. Step 6: Final answer
    x = 164,271.87

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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.