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Finding the Fourth Proportional to 188,758.56, 283,236.21 and 76,521.72

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Solution

The fourth proportional to 188,758.56, 283,236.21 and 76,521.72 is: 114,822.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,758.56 : 283,236.21 = 76,521.72 : x
  2. Step 2: Convert to fraction form
    188,758.56/283,236.21 = 76,521.72/x
  3. Step 3: Cross multiply
    188,758.56x = 283,236.21 × 76,521.72
  4. Step 4: Simplify right side
    188,758.56x = 21,673,721,955.48
  5. Step 5: Solve for x
    x = 21,673,721,955.48/188,758.56
  6. Step 6: Final answer
    x = 114,822.46

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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.