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Finding the Fourth Proportional to 108,431.70, 162,462.48 and 76,789.20

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Solution

The fourth proportional to 108,431.70, 162,462.48 and 76,789.20 is: 115,052.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,431.70 : 162,462.48 = 76,789.20 : x
  2. Step 2: Convert to fraction form
    108,431.70/162,462.48 = 76,789.20/x
  3. Step 3: Cross multiply
    108,431.70x = 162,462.48 × 76,789.20
  4. Step 4: Simplify right side
    108,431.70x = 12,475,363,869.22
  5. Step 5: Solve for x
    x = 12,475,363,869.22/108,431.70
  6. Step 6: Final answer
    x = 115,052.74

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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.