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Finding the Fourth Proportional to 156,694.95, 216,238.41 and 85,074.98

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Solution

The fourth proportional to 156,694.95, 216,238.41 and 85,074.98 is: 117,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,694.95 : 216,238.41 = 85,074.98 : x
  2. Step 2: Convert to fraction form
    156,694.95/216,238.41 = 85,074.98/x
  3. Step 3: Cross multiply
    156,694.95x = 216,238.41 × 85,074.98
  4. Step 4: Simplify right side
    156,694.95x = 18,396,477,324.79
  5. Step 5: Solve for x
    x = 18,396,477,324.79/156,694.95
  6. Step 6: Final answer
    x = 117,403.13

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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.