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Finding the Fourth Proportional to 188,793, 283,189.50 and 77,987.88

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Solution

The fourth proportional to 188,793, 283,189.50 and 77,987.88 is: 116,981.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,793 : 283,189.50 = 77,987.88 : x
  2. Step 2: Convert to fraction form
    188,793/283,189.50 = 77,987.88/x
  3. Step 3: Cross multiply
    188,793x = 283,189.50 × 77,987.88
  4. Step 4: Simplify right side
    188,793x = 22,085,348,743.26
  5. Step 5: Solve for x
    x = 22,085,348,743.26/188,793
  6. Step 6: Final answer
    x = 116,981.82

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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.