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Finding the Fourth Proportional to 57,618, 79,512.84 and 31,122

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Solution

The fourth proportional to 57,618, 79,512.84 and 31,122 is: 42,948.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,618 : 79,512.84 = 31,122 : x
  2. Step 2: Convert to fraction form
    57,618/79,512.84 = 31,122/x
  3. Step 3: Cross multiply
    57,618x = 79,512.84 × 31,122
  4. Step 4: Simplify right side
    57,618x = 2,474,598,606.48
  5. Step 5: Solve for x
    x = 2,474,598,606.48/57,618
  6. Step 6: Final answer
    x = 42,948.36

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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.