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Finding the Fourth Proportional to 243,571.76, 365,394.09 and 75,078.08

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Solution

The fourth proportional to 243,571.76, 365,394.09 and 75,078.08 is: 112,628.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,571.76 : 365,394.09 = 75,078.08 : x
  2. Step 2: Convert to fraction form
    243,571.76/365,394.09 = 75,078.08/x
  3. Step 3: Cross multiply
    243,571.76x = 365,394.09 × 75,078.08
  4. Step 4: Simplify right side
    243,571.76x = 27,433,086,720.55
  5. Step 5: Solve for x
    x = 27,433,086,720.55/243,571.76
  6. Step 6: Final answer
    x = 112,628.36

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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.