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Finding the Fourth Proportional to 113,786.38, 156,952.11 and 69,074.38

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Solution

The fourth proportional to 113,786.38, 156,952.11 and 69,074.38 is: 95,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,786.38 : 156,952.11 = 69,074.38 : x
  2. Step 2: Convert to fraction form
    113,786.38/156,952.11 = 69,074.38/x
  3. Step 3: Cross multiply
    113,786.38x = 156,952.11 × 69,074.38
  4. Step 4: Simplify right side
    113,786.38x = 10,841,369,687.94
  5. Step 5: Solve for x
    x = 10,841,369,687.94/113,786.38
  6. Step 6: Final answer
    x = 95,278.27

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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.