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Finding the Fourth Proportional to 72,786.60, 100,444.86 and 40,954.86

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Solution

The fourth proportional to 72,786.60, 100,444.86 and 40,954.86 is: 56,517.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,786.60 : 100,444.86 = 40,954.86 : x
  2. Step 2: Convert to fraction form
    72,786.60/100,444.86 = 40,954.86/x
  3. Step 3: Cross multiply
    72,786.60x = 100,444.86 × 40,954.86
  4. Step 4: Simplify right side
    72,786.60x = 4,113,705,179.02
  5. Step 5: Solve for x
    x = 4,113,705,179.02/72,786.60
  6. Step 6: Final answer
    x = 56,517.34

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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.