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Finding the Fourth Proportional to 126,630.66, 174,784.86 and 78,855.78

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Solution

The fourth proportional to 126,630.66, 174,784.86 and 78,855.78 is: 108,842.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,630.66 : 174,784.86 = 78,855.78 : x
  2. Step 2: Convert to fraction form
    126,630.66/174,784.86 = 78,855.78/x
  3. Step 3: Cross multiply
    126,630.66x = 174,784.86 × 78,855.78
  4. Step 4: Simplify right side
    126,630.66x = 13,782,796,467.49
  5. Step 5: Solve for x
    x = 13,782,796,467.49/126,630.66
  6. Step 6: Final answer
    x = 108,842.49

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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.