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Finding the Fourth Proportional to 188,814.31, 283,138.36 and 100,047.35

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Solution

The fourth proportional to 188,814.31, 283,138.36 and 100,047.35 is: 150,026.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,814.31 : 283,138.36 = 100,047.35 : x
  2. Step 2: Convert to fraction form
    188,814.31/283,138.36 = 100,047.35/x
  3. Step 3: Cross multiply
    188,814.31x = 283,138.36 × 100,047.35
  4. Step 4: Simplify right side
    188,814.31x = 28,327,242,601.35
  5. Step 5: Solve for x
    x = 28,327,242,601.35/188,814.31
  6. Step 6: Final answer
    x = 150,026.99

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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.