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Finding the Fourth Proportional to 72,742.60, 100,383.88 and 40,916.88

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Solution

The fourth proportional to 72,742.60, 100,383.88 and 40,916.88 is: 56,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,742.60 : 100,383.88 = 40,916.88 : x
  2. Step 2: Convert to fraction form
    72,742.60/100,383.88 = 40,916.88/x
  3. Step 3: Cross multiply
    72,742.60x = 100,383.88 × 40,916.88
  4. Step 4: Simplify right side
    72,742.60x = 4,107,395,171.89
  5. Step 5: Solve for x
    x = 4,107,395,171.89/72,742.60
  6. Step 6: Final answer
    x = 56,464.78

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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.