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Finding the Fourth Proportional to 189,778.66, 261,900.12 and 103,742.40

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Solution

The fourth proportional to 189,778.66, 261,900.12 and 103,742.40 is: 143,167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,778.66 : 261,900.12 = 103,742.40 : x
  2. Step 2: Convert to fraction form
    189,778.66/261,900.12 = 103,742.40/x
  3. Step 3: Cross multiply
    189,778.66x = 261,900.12 × 103,742.40
  4. Step 4: Simplify right side
    189,778.66x = 27,170,147,009.09
  5. Step 5: Solve for x
    x = 27,170,147,009.09/189,778.66
  6. Step 6: Final answer
    x = 143,167.56

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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.