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Finding the Fourth Proportional to 188,883.79, 283,377.42 and 55,764

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Solution

The fourth proportional to 188,883.79, 283,377.42 and 55,764 is: 83,661.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,883.79 : 283,377.42 = 55,764 : x
  2. Step 2: Convert to fraction form
    188,883.79/283,377.42 = 55,764/x
  3. Step 3: Cross multiply
    188,883.79x = 283,377.42 × 55,764
  4. Step 4: Simplify right side
    188,883.79x = 15,802,258,448.88
  5. Step 5: Solve for x
    x = 15,802,258,448.88/188,883.79
  6. Step 6: Final answer
    x = 83,661.27

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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.