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Finding the Fourth Proportional to 156,959.86, 216,608.98 and 85,344.80

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Solution

The fourth proportional to 156,959.86, 216,608.98 and 85,344.80 is: 117,778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,959.86 : 216,608.98 = 85,344.80 : x
  2. Step 2: Convert to fraction form
    156,959.86/216,608.98 = 85,344.80/x
  3. Step 3: Cross multiply
    156,959.86x = 216,608.98 × 85,344.80
  4. Step 4: Simplify right side
    156,959.86x = 18,486,450,076.30
  5. Step 5: Solve for x
    x = 18,486,450,076.30/156,959.86
  6. Step 6: Final answer
    x = 117,778.20

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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.