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Finding the Fourth Proportional to 156,975.82, 216,625.46 and 85,355.90

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Solution

The fourth proportional to 156,975.82, 216,625.46 and 85,355.90 is: 117,790.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,975.82 : 216,625.46 = 85,355.90 : x
  2. Step 2: Convert to fraction form
    156,975.82/216,625.46 = 85,355.90/x
  3. Step 3: Cross multiply
    156,975.82x = 216,625.46 × 85,355.90
  4. Step 4: Simplify right side
    156,975.82x = 18,490,261,101.21
  5. Step 5: Solve for x
    x = 18,490,261,101.21/156,975.82
  6. Step 6: Final answer
    x = 117,790.50

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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.