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Finding the Fourth Proportional to 76,936.32, 115,395.84 and 21,536.64

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Solution

The fourth proportional to 76,936.32, 115,395.84 and 21,536.64 is: 32,302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,936.32 : 115,395.84 = 21,536.64 : x
  2. Step 2: Convert to fraction form
    76,936.32/115,395.84 = 21,536.64/x
  3. Step 3: Cross multiply
    76,936.32x = 115,395.84 × 21,536.64
  4. Step 4: Simplify right side
    76,936.32x = 2,485,238,663.58
  5. Step 5: Solve for x
    x = 2,485,238,663.58/76,936.32
  6. Step 6: Final answer
    x = 32,302.54

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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.