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Finding the Fourth Proportional to 108,161.76, 162,344.39 and 54,891.98

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Solution

The fourth proportional to 108,161.76, 162,344.39 and 54,891.98 is: 82,389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,161.76 : 162,344.39 = 54,891.98 : x
  2. Step 2: Convert to fraction form
    108,161.76/162,344.39 = 54,891.98/x
  3. Step 3: Cross multiply
    108,161.76x = 162,344.39 × 54,891.98
  4. Step 4: Simplify right side
    108,161.76x = 8,911,403,922.81
  5. Step 5: Solve for x
    x = 8,911,403,922.81/108,161.76
  6. Step 6: Final answer
    x = 82,389.60

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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.