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Finding the Fourth Proportional to 156,909.86, 216,539.82 and 85,294.70

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Solution

The fourth proportional to 156,909.86, 216,539.82 and 85,294.70 is: 117,708.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,909.86 : 216,539.82 = 85,294.70 : x
  2. Step 2: Convert to fraction form
    156,909.86/216,539.82 = 85,294.70/x
  3. Step 3: Cross multiply
    156,909.86x = 216,539.82 × 85,294.70
  4. Step 4: Simplify right side
    156,909.86x = 18,469,698,984.95
  5. Step 5: Solve for x
    x = 18,469,698,984.95/156,909.86
  6. Step 6: Final answer
    x = 117,708.98

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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.