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Finding the Fourth Proportional to 100,476.50, 138,664.05 and 55,764.50

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Solution

The fourth proportional to 100,476.50, 138,664.05 and 55,764.50 is: 76,958.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,476.50 : 138,664.05 = 55,764.50 : x
  2. Step 2: Convert to fraction form
    100,476.50/138,664.05 = 55,764.50/x
  3. Step 3: Cross multiply
    100,476.50x = 138,664.05 × 55,764.50
  4. Step 4: Simplify right side
    100,476.50x = 7,732,531,416.23
  5. Step 5: Solve for x
    x = 7,732,531,416.23/100,476.50
  6. Step 6: Final answer
    x = 76,958.61

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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.