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Finding the Fourth Proportional to 57,672, 79,587.36 and 31,176

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Solution

The fourth proportional to 57,672, 79,587.36 and 31,176 is: 43,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,672 : 79,587.36 = 31,176 : x
  2. Step 2: Convert to fraction form
    57,672/79,587.36 = 31,176/x
  3. Step 3: Cross multiply
    57,672x = 79,587.36 × 31,176
  4. Step 4: Simplify right side
    57,672x = 2,481,215,535.36
  5. Step 5: Solve for x
    x = 2,481,215,535.36/57,672
  6. Step 6: Final answer
    x = 43,022.88

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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.