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Finding the Fourth Proportional to 57,609, 79,500.44 and 31,113

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Solution

The fourth proportional to 57,609, 79,500.44 and 31,113 is: 42,935.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,609 : 79,500.44 = 31,113 : x
  2. Step 2: Convert to fraction form
    57,609/79,500.44 = 31,113/x
  3. Step 3: Cross multiply
    57,609x = 79,500.44 × 31,113
  4. Step 4: Simplify right side
    57,609x = 2,473,497,189.72
  5. Step 5: Solve for x
    x = 2,473,497,189.72/57,609
  6. Step 6: Final answer
    x = 42,935.95

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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.