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Finding the Fourth Proportional to 68,134, 102,201.91 and 21,386.88

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Solution

The fourth proportional to 68,134, 102,201.91 and 21,386.88 is: 32,080.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,134 : 102,201.91 = 21,386.88 : x
  2. Step 2: Convert to fraction form
    68,134/102,201.91 = 21,386.88/x
  3. Step 3: Cross multiply
    68,134x = 102,201.91 × 21,386.88
  4. Step 4: Simplify right side
    68,134x = 2,185,779,984.94
  5. Step 5: Solve for x
    x = 2,185,779,984.94/68,134
  6. Step 6: Final answer
    x = 32,080.61

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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.