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Finding the Fourth Proportional to 57,614, 79,507.36 and 31,118

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Solution

The fourth proportional to 57,614, 79,507.36 and 31,118 is: 42,942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,614 : 79,507.36 = 31,118 : x
  2. Step 2: Convert to fraction form
    57,614/79,507.36 = 31,118/x
  3. Step 3: Cross multiply
    57,614x = 79,507.36 × 31,118
  4. Step 4: Simplify right side
    57,614x = 2,474,110,028.48
  5. Step 5: Solve for x
    x = 2,474,110,028.48/57,614
  6. Step 6: Final answer
    x = 42,942.86

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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.