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Finding the Fourth Proportional to 108,293.40, 162,440.10 and 82,049.40

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Solution

The fourth proportional to 108,293.40, 162,440.10 and 82,049.40 is: 123,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,293.40 : 162,440.10 = 82,049.40 : x
  2. Step 2: Convert to fraction form
    108,293.40/162,440.10 = 82,049.40/x
  3. Step 3: Cross multiply
    108,293.40x = 162,440.10 × 82,049.40
  4. Step 4: Simplify right side
    108,293.40x = 13,328,112,740.94
  5. Step 5: Solve for x
    x = 13,328,112,740.94/108,293.40
  6. Step 6: Final answer
    x = 123,074.10

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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.