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Finding the Fourth Proportional to 156,869.76, 216,481.64 and 85,249.78

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Solution

The fourth proportional to 156,869.76, 216,481.64 and 85,249.78 is: 117,645.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,869.76 : 216,481.64 = 85,249.78 : x
  2. Step 2: Convert to fraction form
    156,869.76/216,481.64 = 85,249.78/x
  3. Step 3: Cross multiply
    156,869.76x = 216,481.64 × 85,249.78
  4. Step 4: Simplify right side
    156,869.76x = 18,455,012,184.04
  5. Step 5: Solve for x
    x = 18,455,012,184.04/156,869.76
  6. Step 6: Final answer
    x = 117,645.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.