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Finding the Fourth Proportional to 57,674, 79,590.12 and 31,178

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Solution

The fourth proportional to 57,674, 79,590.12 and 31,178 is: 43,025.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,674 : 79,590.12 = 31,178 : x
  2. Step 2: Convert to fraction form
    57,674/79,590.12 = 31,178/x
  3. Step 3: Cross multiply
    57,674x = 79,590.12 × 31,178
  4. Step 4: Simplify right side
    57,674x = 2,481,460,761.36
  5. Step 5: Solve for x
    x = 2,481,460,761.36/57,674
  6. Step 6: Final answer
    x = 43,025.64

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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.