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Finding the Fourth Proportional to 156,978.21, 216,629.40 and 85,358.40

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Solution

The fourth proportional to 156,978.21, 216,629.40 and 85,358.40 is: 117,794.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,978.21 : 216,629.40 = 85,358.40 : x
  2. Step 2: Convert to fraction form
    156,978.21/216,629.40 = 85,358.40/x
  3. Step 3: Cross multiply
    156,978.21x = 216,629.40 × 85,358.40
  4. Step 4: Simplify right side
    156,978.21x = 18,491,138,976.96
  5. Step 5: Solve for x
    x = 18,491,138,976.96/156,978.21
  6. Step 6: Final answer
    x = 117,794.30

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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.