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Finding the Fourth Proportional to 102,676.21, 154,014.22 and 38,646.31

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Solution

The fourth proportional to 102,676.21, 154,014.22 and 38,646.31 is: 57,969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,676.21 : 154,014.22 = 38,646.31 : x
  2. Step 2: Convert to fraction form
    102,676.21/154,014.22 = 38,646.31/x
  3. Step 3: Cross multiply
    102,676.21x = 154,014.22 × 38,646.31
  4. Step 4: Simplify right side
    102,676.21x = 5,952,081,097.30
  5. Step 5: Solve for x
    x = 5,952,081,097.30/102,676.21
  6. Step 6: Final answer
    x = 57,969.43

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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.