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Finding the Fourth Proportional to 72,796.46, 100,458.80 and 40,965.90

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Solution

The fourth proportional to 72,796.46, 100,458.80 and 40,965.90 is: 56,532.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,796.46 : 100,458.80 = 40,965.90 : x
  2. Step 2: Convert to fraction form
    72,796.46/100,458.80 = 40,965.90/x
  3. Step 3: Cross multiply
    72,796.46x = 100,458.80 × 40,965.90
  4. Step 4: Simplify right side
    72,796.46x = 4,115,385,154.92
  5. Step 5: Solve for x
    x = 4,115,385,154.92/72,796.46
  6. Step 6: Final answer
    x = 56,532.76

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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.