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Finding the Fourth Proportional to 72,796.94, 100,459.57 and 40,965.83

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Solution

The fourth proportional to 72,796.94, 100,459.57 and 40,965.83 is: 56,532.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,796.94 : 100,459.57 = 40,965.83 : x
  2. Step 2: Convert to fraction form
    72,796.94/100,459.57 = 40,965.83/x
  3. Step 3: Cross multiply
    72,796.94x = 100,459.57 × 40,965.83
  4. Step 4: Simplify right side
    72,796.94x = 4,115,409,965.18
  5. Step 5: Solve for x
    x = 4,115,409,965.18/72,796.94
  6. Step 6: Final answer
    x = 56,532.74

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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.