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Finding the Fourth Proportional to 115,814.88, 159,789.24 and 75,514.14

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Solution

The fourth proportional to 115,814.88, 159,789.24 and 75,514.14 is: 104,186.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,814.88 : 159,789.24 = 75,514.14 : x
  2. Step 2: Convert to fraction form
    115,814.88/159,789.24 = 75,514.14/x
  3. Step 3: Cross multiply
    115,814.88x = 159,789.24 × 75,514.14
  4. Step 4: Simplify right side
    115,814.88x = 12,066,347,039.85
  5. Step 5: Solve for x
    x = 12,066,347,039.85/115,814.88
  6. Step 6: Final answer
    x = 104,186.50

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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.