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Finding the Fourth Proportional to 156,912.88, 216,544 and 85,297.76

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Solution

The fourth proportional to 156,912.88, 216,544 and 85,297.76 is: 117,713.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,912.88 : 216,544 = 85,297.76 : x
  2. Step 2: Convert to fraction form
    156,912.88/216,544 = 85,297.76/x
  3. Step 3: Cross multiply
    156,912.88x = 216,544 × 85,297.76
  4. Step 4: Simplify right side
    156,912.88x = 18,470,718,141.44
  5. Step 5: Solve for x
    x = 18,470,718,141.44/156,912.88
  6. Step 6: Final answer
    x = 117,713.21

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1.5x scale

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.