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Finding the Fourth Proportional to 68,609.10, 102,921.21 and 21,851.22

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Solution

The fourth proportional to 68,609.10, 102,921.21 and 21,851.22 is: 32,779.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,609.10 : 102,921.21 = 21,851.22 : x
  2. Step 2: Convert to fraction form
    68,609.10/102,921.21 = 21,851.22/x
  3. Step 3: Cross multiply
    68,609.10x = 102,921.21 × 21,851.22
  4. Step 4: Simplify right side
    68,609.10x = 2,248,954,002.38
  5. Step 5: Solve for x
    x = 2,248,954,002.38/68,609.10
  6. Step 6: Final answer
    x = 32,779.24

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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.