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Finding the Fourth Proportional to 57,625, 79,522.50 and 31,129

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Solution

The fourth proportional to 57,625, 79,522.50 and 31,129 is: 42,958.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,625 : 79,522.50 = 31,129 : x
  2. Step 2: Convert to fraction form
    57,625/79,522.50 = 31,129/x
  3. Step 3: Cross multiply
    57,625x = 79,522.50 × 31,129
  4. Step 4: Simplify right side
    57,625x = 2,475,455,902.50
  5. Step 5: Solve for x
    x = 2,475,455,902.50/57,625
  6. Step 6: Final answer
    x = 42,958.02

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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.