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Finding the Fourth Proportional to 189,514.64, 261,218.63 and 134,342.43

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Solution

The fourth proportional to 189,514.64, 261,218.63 and 134,342.43 is: 185,171.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,514.64 : 261,218.63 = 134,342.43 : x
  2. Step 2: Convert to fraction form
    189,514.64/261,218.63 = 134,342.43/x
  3. Step 3: Cross multiply
    189,514.64x = 261,218.63 × 134,342.43
  4. Step 4: Simplify right side
    189,514.64x = 35,092,744,843.76
  5. Step 5: Solve for x
    x = 35,092,744,843.76/189,514.64
  6. Step 6: Final answer
    x = 185,171.69

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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.