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Finding the Fourth Proportional to 57,649, 79,555.62 and 31,153

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Solution

The fourth proportional to 57,649, 79,555.62 and 31,153 is: 42,991.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,649 : 79,555.62 = 31,153 : x
  2. Step 2: Convert to fraction form
    57,649/79,555.62 = 31,153/x
  3. Step 3: Cross multiply
    57,649x = 79,555.62 × 31,153
  4. Step 4: Simplify right side
    57,649x = 2,478,396,229.86
  5. Step 5: Solve for x
    x = 2,478,396,229.86/57,649
  6. Step 6: Final answer
    x = 42,991.14

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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.