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Finding the Fourth Proportional to 51,405.30, 70,939.17 and 29,049.30

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Solution

The fourth proportional to 51,405.30, 70,939.17 and 29,049.30 is: 40,087.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,405.30 : 70,939.17 = 29,049.30 : x
  2. Step 2: Convert to fraction form
    51,405.30/70,939.17 = 29,049.30/x
  3. Step 3: Cross multiply
    51,405.30x = 70,939.17 × 29,049.30
  4. Step 4: Simplify right side
    51,405.30x = 2,060,733,231.08
  5. Step 5: Solve for x
    x = 2,060,733,231.08/51,405.30
  6. Step 6: Final answer
    x = 40,087.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.