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Finding the Fourth Proportional to 188,784, 283,176 and 77,978.88

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Solution

The fourth proportional to 188,784, 283,176 and 77,978.88 is: 116,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,784 : 283,176 = 77,978.88 : x
  2. Step 2: Convert to fraction form
    188,784/283,176 = 77,978.88/x
  3. Step 3: Cross multiply
    188,784x = 283,176 × 77,978.88
  4. Step 4: Simplify right side
    188,784x = 22,081,747,322.88
  5. Step 5: Solve for x
    x = 22,081,747,322.88/188,784
  6. Step 6: Final answer
    x = 116,968.32

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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.