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Finding the Fourth Proportional to 138,050.30, 207,184.80 and 53,850.80

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Solution

The fourth proportional to 138,050.30, 207,184.80 and 53,850.80 is: 80,818.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,050.30 : 207,184.80 = 53,850.80 : x
  2. Step 2: Convert to fraction form
    138,050.30/207,184.80 = 53,850.80/x
  3. Step 3: Cross multiply
    138,050.30x = 207,184.80 × 53,850.80
  4. Step 4: Simplify right side
    138,050.30x = 11,157,067,227.84
  5. Step 5: Solve for x
    x = 11,157,067,227.84/138,050.30
  6. Step 6: Final answer
    x = 80,818.86

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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.