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Finding the Fourth Proportional to 100,934.88, 151,536.24 and 86,238.24

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Solution

The fourth proportional to 100,934.88, 151,536.24 and 86,238.24 is: 129,471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,934.88 : 151,536.24 = 86,238.24 : x
  2. Step 2: Convert to fraction form
    100,934.88/151,536.24 = 86,238.24/x
  3. Step 3: Cross multiply
    100,934.88x = 151,536.24 × 86,238.24
  4. Step 4: Simplify right side
    100,934.88x = 13,068,218,633.82
  5. Step 5: Solve for x
    x = 13,068,218,633.82/100,934.88
  6. Step 6: Final answer
    x = 129,471.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.