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Finding the Fourth Proportional to 189,778.90, 261,900.45 and 103,742.64

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Solution

The fourth proportional to 189,778.90, 261,900.45 and 103,742.64 is: 143,167.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,778.90 : 261,900.45 = 103,742.64 : x
  2. Step 2: Convert to fraction form
    189,778.90/261,900.45 = 103,742.64/x
  3. Step 3: Cross multiply
    189,778.90x = 261,900.45 × 103,742.64
  4. Step 4: Simplify right side
    189,778.90x = 27,170,242,790.69
  5. Step 5: Solve for x
    x = 27,170,242,790.69/189,778.90
  6. Step 6: Final answer
    x = 143,167.88

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1.5x scale

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.