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Finding the Fourth Proportional to 138,049.30, 207,183.30 and 53,849.80

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Solution

The fourth proportional to 138,049.30, 207,183.30 and 53,849.80 is: 80,817.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,049.30 : 207,183.30 = 53,849.80 : x
  2. Step 2: Convert to fraction form
    138,049.30/207,183.30 = 53,849.80/x
  3. Step 3: Cross multiply
    138,049.30x = 207,183.30 × 53,849.80
  4. Step 4: Simplify right side
    138,049.30x = 11,156,779,268.34
  5. Step 5: Solve for x
    x = 11,156,779,268.34/138,049.30
  6. Step 6: Final answer
    x = 80,817.35

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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.