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Finding the Fourth Proportional to 156,794, 216,375.72 and 86,138

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Solution

The fourth proportional to 156,794, 216,375.72 and 86,138 is: 118,870.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,794 : 216,375.72 = 86,138 : x
  2. Step 2: Convert to fraction form
    156,794/216,375.72 = 86,138/x
  3. Step 3: Cross multiply
    156,794x = 216,375.72 × 86,138
  4. Step 4: Simplify right side
    156,794x = 18,638,171,769.36
  5. Step 5: Solve for x
    x = 18,638,171,769.36/156,794
  6. Step 6: Final answer
    x = 118,870.44

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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.