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Finding the Fourth Proportional to 167,796, 251,611.92 and 78,974.64

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Solution

The fourth proportional to 167,796, 251,611.92 and 78,974.64 is: 118,423.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,796 : 251,611.92 = 78,974.64 : x
  2. Step 2: Convert to fraction form
    167,796/251,611.92 = 78,974.64/x
  3. Step 3: Cross multiply
    167,796x = 251,611.92 × 78,974.64
  4. Step 4: Simplify right side
    167,796x = 19,870,960,801.71
  5. Step 5: Solve for x
    x = 19,870,960,801.71/167,796
  6. Step 6: Final answer
    x = 118,423.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.