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Finding the Fourth Proportional to 57,951.84, 86,966.64 and 20,512

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Solution

The fourth proportional to 57,951.84, 86,966.64 and 20,512 is: 30,781.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,951.84 : 86,966.64 = 20,512 : x
  2. Step 2: Convert to fraction form
    57,951.84/86,966.64 = 20,512/x
  3. Step 3: Cross multiply
    57,951.84x = 86,966.64 × 20,512
  4. Step 4: Simplify right side
    57,951.84x = 1,783,859,719.68
  5. Step 5: Solve for x
    x = 1,783,859,719.68/57,951.84
  6. Step 6: Final answer
    x = 30,781.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.