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Finding the Fourth Proportional to 104,322.56, 143,965.12 and 56,576

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Solution

The fourth proportional to 104,322.56, 143,965.12 and 56,576 is: 78,074.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,322.56 : 143,965.12 = 56,576 : x
  2. Step 2: Convert to fraction form
    104,322.56/143,965.12 = 56,576/x
  3. Step 3: Cross multiply
    104,322.56x = 143,965.12 × 56,576
  4. Step 4: Simplify right side
    104,322.56x = 8,144,970,629.12
  5. Step 5: Solve for x
    x = 8,144,970,629.12/104,322.56
  6. Step 6: Final answer
    x = 78,074.87

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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.