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Finding the Fourth Proportional to 72,846.24, 109,270.80 and 20,254.98

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Solution

The fourth proportional to 72,846.24, 109,270.80 and 20,254.98 is: 30,382.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,846.24 : 109,270.80 = 20,254.98 : x
  2. Step 2: Convert to fraction form
    72,846.24/109,270.80 = 20,254.98/x
  3. Step 3: Cross multiply
    72,846.24x = 109,270.80 × 20,254.98
  4. Step 4: Simplify right side
    72,846.24x = 2,213,277,868.58
  5. Step 5: Solve for x
    x = 2,213,277,868.58/72,846.24
  6. Step 6: Final answer
    x = 30,382.87

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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.