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Finding the Fourth Proportional to 188,785, 283,177.50 and 77,979.88

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Solution

The fourth proportional to 188,785, 283,177.50 and 77,979.88 is: 116,969.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,785 : 283,177.50 = 77,979.88 : x
  2. Step 2: Convert to fraction form
    188,785/283,177.50 = 77,979.88/x
  3. Step 3: Cross multiply
    188,785x = 283,177.50 × 77,979.88
  4. Step 4: Simplify right side
    188,785x = 22,082,147,468.70
  5. Step 5: Solve for x
    x = 22,082,147,468.70/188,785
  6. Step 6: Final answer
    x = 116,969.82

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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.