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Finding the Fourth Proportional to 156,865.44, 216,474.15 and 85,245.30

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Solution

The fourth proportional to 156,865.44, 216,474.15 and 85,245.30 is: 117,638.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,865.44 : 216,474.15 = 85,245.30 : x
  2. Step 2: Convert to fraction form
    156,865.44/216,474.15 = 85,245.30/x
  3. Step 3: Cross multiply
    156,865.44x = 216,474.15 × 85,245.30
  4. Step 4: Simplify right side
    156,865.44x = 18,453,403,859.00
  5. Step 5: Solve for x
    x = 18,453,403,859.00/156,865.44
  6. Step 6: Final answer
    x = 117,638.43

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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.