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Finding the Fourth Proportional to 138,563.28, 207,793.44 and 49,792.56

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Solution

The fourth proportional to 138,563.28, 207,793.44 and 49,792.56 is: 74,670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,563.28 : 207,793.44 = 49,792.56 : x
  2. Step 2: Convert to fraction form
    138,563.28/207,793.44 = 49,792.56/x
  3. Step 3: Cross multiply
    138,563.28x = 207,793.44 × 49,792.56
  4. Step 4: Simplify right side
    138,563.28x = 10,346,567,328.81
  5. Step 5: Solve for x
    x = 10,346,567,328.81/138,563.28
  6. Step 6: Final answer
    x = 74,670.34

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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.