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Finding the Fourth Proportional to 188,884.79, 283,378.92 and 55,765

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Solution

The fourth proportional to 188,884.79, 283,378.92 and 55,765 is: 83,662.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,884.79 : 283,378.92 = 55,765 : x
  2. Step 2: Convert to fraction form
    188,884.79/283,378.92 = 55,765/x
  3. Step 3: Cross multiply
    188,884.79x = 283,378.92 × 55,765
  4. Step 4: Simplify right side
    188,884.79x = 15,802,625,473.80
  5. Step 5: Solve for x
    x = 15,802,625,473.80/188,884.79
  6. Step 6: Final answer
    x = 83,662.77

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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.