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Finding the Fourth Proportional to 82,388.70, 113,636.28 and 52,178.94

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Solution

The fourth proportional to 82,388.70, 113,636.28 and 52,178.94 is: 71,968.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,388.70 : 113,636.28 = 52,178.94 : x
  2. Step 2: Convert to fraction form
    82,388.70/113,636.28 = 52,178.94/x
  3. Step 3: Cross multiply
    82,388.70x = 113,636.28 × 52,178.94
  4. Step 4: Simplify right side
    82,388.70x = 5,929,420,635.94
  5. Step 5: Solve for x
    x = 5,929,420,635.94/82,388.70
  6. Step 6: Final answer
    x = 71,968.86

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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.