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Finding the Fourth Proportional to 57,568, 79,478.40 and 37,730.56

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Solution

The fourth proportional to 57,568, 79,478.40 and 37,730.56 is: 52,090.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,568 : 79,478.40 = 37,730.56 : x
  2. Step 2: Convert to fraction form
    57,568/79,478.40 = 37,730.56/x
  3. Step 3: Cross multiply
    57,568x = 79,478.40 × 37,730.56
  4. Step 4: Simplify right side
    57,568x = 2,998,764,539.90
  5. Step 5: Solve for x
    x = 2,998,764,539.90/57,568
  6. Step 6: Final answer
    x = 52,090.82

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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.