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Finding the Fourth Proportional to 156,961.86, 216,611.74 and 85,346.80

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Solution

The fourth proportional to 156,961.86, 216,611.74 and 85,346.80 is: 117,780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,961.86 : 216,611.74 = 85,346.80 : x
  2. Step 2: Convert to fraction form
    156,961.86/216,611.74 = 85,346.80/x
  3. Step 3: Cross multiply
    156,961.86x = 216,611.74 × 85,346.80
  4. Step 4: Simplify right side
    156,961.86x = 18,487,118,851.43
  5. Step 5: Solve for x
    x = 18,487,118,851.43/156,961.86
  6. Step 6: Final answer
    x = 117,780.96

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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.