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Finding the Fourth Proportional to 108,212.64, 162,320.64 and 38,092.80

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Solution

The fourth proportional to 108,212.64, 162,320.64 and 38,092.80 is: 57,139.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,212.64 : 162,320.64 = 38,092.80 : x
  2. Step 2: Convert to fraction form
    108,212.64/162,320.64 = 38,092.80/x
  3. Step 3: Cross multiply
    108,212.64x = 162,320.64 × 38,092.80
  4. Step 4: Simplify right side
    108,212.64x = 6,183,247,675.39
  5. Step 5: Solve for x
    x = 6,183,247,675.39/108,212.64
  6. Step 6: Final answer
    x = 57,139.79

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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.