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Finding the Fourth Proportional to 191,995.20, 287,863.20 and 102,052.80

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Solution

The fourth proportional to 191,995.20, 287,863.20 and 102,052.80 is: 153,010.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,995.20 : 287,863.20 = 102,052.80 : x
  2. Step 2: Convert to fraction form
    191,995.20/287,863.20 = 102,052.80/x
  3. Step 3: Cross multiply
    191,995.20x = 287,863.20 × 102,052.80
  4. Step 4: Simplify right side
    191,995.20x = 29,377,245,576.96
  5. Step 5: Solve for x
    x = 29,377,245,576.96/191,995.20
  6. Step 6: Final answer
    x = 153,010.31

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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.