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Finding the Fourth Proportional to 70,646.04, 105,917.22 and 33,186.78

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Solution

The fourth proportional to 70,646.04, 105,917.22 and 33,186.78 is: 49,755.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,646.04 : 105,917.22 = 33,186.78 : x
  2. Step 2: Convert to fraction form
    70,646.04/105,917.22 = 33,186.78/x
  3. Step 3: Cross multiply
    70,646.04x = 105,917.22 × 33,186.78
  4. Step 4: Simplify right side
    70,646.04x = 3,515,051,478.35
  5. Step 5: Solve for x
    x = 3,515,051,478.35/70,646.04
  6. Step 6: Final answer
    x = 49,755.82

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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.