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Finding the Fourth Proportional to 189,494.96, 261,498.82 and 103,450.64

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Solution

The fourth proportional to 189,494.96, 261,498.82 and 103,450.64 is: 142,759.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,494.96 : 261,498.82 = 103,450.64 : x
  2. Step 2: Convert to fraction form
    189,494.96/261,498.82 = 103,450.64/x
  3. Step 3: Cross multiply
    189,494.96x = 261,498.82 × 103,450.64
  4. Step 4: Simplify right side
    189,494.96x = 27,052,220,288.24
  5. Step 5: Solve for x
    x = 27,052,220,288.24/189,494.96
  6. Step 6: Final answer
    x = 142,759.58

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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.