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Finding the Fourth Proportional to 108,855.74, 163,281.90 and 76,701.87

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Solution

The fourth proportional to 108,855.74, 163,281.90 and 76,701.87 is: 115,051.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,855.74 : 163,281.90 = 76,701.87 : x
  2. Step 2: Convert to fraction form
    108,855.74/163,281.90 = 76,701.87/x
  3. Step 3: Cross multiply
    108,855.74x = 163,281.90 × 76,701.87
  4. Step 4: Simplify right side
    108,855.74x = 12,524,027,067.15
  5. Step 5: Solve for x
    x = 12,524,027,067.15/108,855.74
  6. Step 6: Final answer
    x = 115,051.61

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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.