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Finding the Fourth Proportional to 188,929, 283,393.50 and 78,123.88

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Solution

The fourth proportional to 188,929, 283,393.50 and 78,123.88 is: 117,185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,929 : 283,393.50 = 78,123.88 : x
  2. Step 2: Convert to fraction form
    188,929/283,393.50 = 78,123.88/x
  3. Step 3: Cross multiply
    188,929x = 283,393.50 × 78,123.88
  4. Step 4: Simplify right side
    188,929x = 22,139,799,786.78
  5. Step 5: Solve for x
    x = 22,139,799,786.78/188,929
  6. Step 6: Final answer
    x = 117,185.82

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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.