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Finding the Fourth Proportional to 57,664, 79,576.32 and 31,168

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Solution

The fourth proportional to 57,664, 79,576.32 and 31,168 is: 43,011.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,664 : 79,576.32 = 31,168 : x
  2. Step 2: Convert to fraction form
    57,664/79,576.32 = 31,168/x
  3. Step 3: Cross multiply
    57,664x = 79,576.32 × 31,168
  4. Step 4: Simplify right side
    57,664x = 2,480,234,741.76
  5. Step 5: Solve for x
    x = 2,480,234,741.76/57,664
  6. Step 6: Final answer
    x = 43,011.84

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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.