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Finding the Fourth Proportional to 189,086.33, 260,939.18 and 103,045.34

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Solution

The fourth proportional to 189,086.33, 260,939.18 and 103,045.34 is: 142,202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,086.33 : 260,939.18 = 103,045.34 : x
  2. Step 2: Convert to fraction form
    189,086.33/260,939.18 = 103,045.34/x
  3. Step 3: Cross multiply
    189,086.33x = 260,939.18 × 103,045.34
  4. Step 4: Simplify right side
    189,086.33x = 26,888,565,217.73
  5. Step 5: Solve for x
    x = 26,888,565,217.73/189,086.33
  6. Step 6: Final answer
    x = 142,202.59

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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.