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Finding the Fourth Proportional to 188,905.20, 282,701.70 and 129,856.20

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Solution

The fourth proportional to 188,905.20, 282,701.70 and 129,856.20 is: 194,333.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,905.20 : 282,701.70 = 129,856.20 : x
  2. Step 2: Convert to fraction form
    188,905.20/282,701.70 = 129,856.20/x
  3. Step 3: Cross multiply
    188,905.20x = 282,701.70 × 129,856.20
  4. Step 4: Simplify right side
    188,905.20x = 36,710,568,495.54
  5. Step 5: Solve for x
    x = 36,710,568,495.54/188,905.20
  6. Step 6: Final answer
    x = 194,333.29

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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.