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Finding the Fourth Proportional to 138,194.94, 207,261.45 and 53,957.10

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Solution

The fourth proportional to 138,194.94, 207,261.45 and 53,957.10 is: 80,923.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,194.94 : 207,261.45 = 53,957.10 : x
  2. Step 2: Convert to fraction form
    138,194.94/207,261.45 = 53,957.10/x
  3. Step 3: Cross multiply
    138,194.94x = 207,261.45 × 53,957.10
  4. Step 4: Simplify right side
    138,194.94x = 11,183,226,783.80
  5. Step 5: Solve for x
    x = 11,183,226,783.80/138,194.94
  6. Step 6: Final answer
    x = 80,923.56

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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.