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Finding the Fourth Proportional to 156,794.48, 216,378 and 85,175.90

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Solution

The fourth proportional to 156,794.48, 216,378 and 85,175.90 is: 117,543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,794.48 : 216,378 = 85,175.90 : x
  2. Step 2: Convert to fraction form
    156,794.48/216,378 = 85,175.90/x
  3. Step 3: Cross multiply
    156,794.48x = 216,378 × 85,175.90
  4. Step 4: Simplify right side
    156,794.48x = 18,430,190,890.20
  5. Step 5: Solve for x
    x = 18,430,190,890.20/156,794.48
  6. Step 6: Final answer
    x = 117,543.62

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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.