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Finding the Fourth Proportional to 72,694.40, 100,322.86 and 40,865.35

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Solution

The fourth proportional to 72,694.40, 100,322.86 and 40,865.35 is: 56,396.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,694.40 : 100,322.86 = 40,865.35 : x
  2. Step 2: Convert to fraction form
    72,694.40/100,322.86 = 40,865.35/x
  3. Step 3: Cross multiply
    72,694.40x = 100,322.86 × 40,865.35
  4. Step 4: Simplify right side
    72,694.40x = 4,099,728,638.26
  5. Step 5: Solve for x
    x = 4,099,728,638.26/72,694.40
  6. Step 6: Final answer
    x = 56,396.76

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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.