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Finding the Fourth Proportional to 172,686.68, 258,964.40 and 82,636.96

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Solution

The fourth proportional to 172,686.68, 258,964.40 and 82,636.96 is: 123,924.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,686.68 : 258,964.40 = 82,636.96 : x
  2. Step 2: Convert to fraction form
    172,686.68/258,964.40 = 82,636.96/x
  3. Step 3: Cross multiply
    172,686.68x = 258,964.40 × 82,636.96
  4. Step 4: Simplify right side
    172,686.68x = 21,400,030,764.22
  5. Step 5: Solve for x
    x = 21,400,030,764.22/172,686.68
  6. Step 6: Final answer
    x = 123,924.04

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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.