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Finding the Fourth Proportional to 108,285.90, 162,428.85 and 82,041.90

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Solution

The fourth proportional to 108,285.90, 162,428.85 and 82,041.90 is: 123,062.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,285.90 : 162,428.85 = 82,041.90 : x
  2. Step 2: Convert to fraction form
    108,285.90/162,428.85 = 82,041.90/x
  3. Step 3: Cross multiply
    108,285.90x = 162,428.85 × 82,041.90
  4. Step 4: Simplify right side
    108,285.90x = 13,325,971,468.82
  5. Step 5: Solve for x
    x = 13,325,971,468.82/108,285.90
  6. Step 6: Final answer
    x = 123,062.85

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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.