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Finding the Fourth Proportional to 57,688, 79,609.68 and 31,192

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Solution

The fourth proportional to 57,688, 79,609.68 and 31,192 is: 43,045.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,688 : 79,609.68 = 31,192 : x
  2. Step 2: Convert to fraction form
    57,688/79,609.68 = 31,192/x
  3. Step 3: Cross multiply
    57,688x = 79,609.68 × 31,192
  4. Step 4: Simplify right side
    57,688x = 2,483,185,138.56
  5. Step 5: Solve for x
    x = 2,483,185,138.56/57,688
  6. Step 6: Final answer
    x = 43,045.09

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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.