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Finding the Fourth Proportional to 86,815.80, 130,198.10 and 34,207.80

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Solution

The fourth proportional to 86,815.80, 130,198.10 and 34,207.80 is: 51,301.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,815.80 : 130,198.10 = 34,207.80 : x
  2. Step 2: Convert to fraction form
    86,815.80/130,198.10 = 34,207.80/x
  3. Step 3: Cross multiply
    86,815.80x = 130,198.10 × 34,207.80
  4. Step 4: Simplify right side
    86,815.80x = 4,453,790,565.18
  5. Step 5: Solve for x
    x = 4,453,790,565.18/86,815.80
  6. Step 6: Final answer
    x = 51,301.61

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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.