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Finding the Fourth Proportional to 72,722.98, 100,274.96 and 51,205.86

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Solution

The fourth proportional to 72,722.98, 100,274.96 and 51,205.86 is: 70,605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,722.98 : 100,274.96 = 51,205.86 : x
  2. Step 2: Convert to fraction form
    72,722.98/100,274.96 = 51,205.86/x
  3. Step 3: Cross multiply
    72,722.98x = 100,274.96 × 51,205.86
  4. Step 4: Simplify right side
    72,722.98x = 5,134,665,563.27
  5. Step 5: Solve for x
    x = 5,134,665,563.27/72,722.98
  6. Step 6: Final answer
    x = 70,605.82

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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.