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Finding the Fourth Proportional to 156,750, 216,315.40 and 85,131.24

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Solution

The fourth proportional to 156,750, 216,315.40 and 85,131.24 is: 117,481.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,750 : 216,315.40 = 85,131.24 : x
  2. Step 2: Convert to fraction form
    156,750/216,315.40 = 85,131.24/x
  3. Step 3: Cross multiply
    156,750x = 216,315.40 × 85,131.24
  4. Step 4: Simplify right side
    156,750x = 18,415,198,233.10
  5. Step 5: Solve for x
    x = 18,415,198,233.10/156,750
  6. Step 6: Final answer
    x = 117,481.33

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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.