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Finding the Fourth Proportional to 189,197.55, 261,080.72 and 104,315.31

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Solution

The fourth proportional to 189,197.55, 261,080.72 and 104,315.31 is: 143,948.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,197.55 : 261,080.72 = 104,315.31 : x
  2. Step 2: Convert to fraction form
    189,197.55/261,080.72 = 104,315.31/x
  3. Step 3: Cross multiply
    189,197.55x = 261,080.72 × 104,315.31
  4. Step 4: Simplify right side
    189,197.55x = 27,234,715,720.25
  5. Step 5: Solve for x
    x = 27,234,715,720.25/189,197.55
  6. Step 6: Final answer
    x = 143,948.56

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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.