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Finding the Fourth Proportional to 111,889, 167,696.70 and 52,645.96

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Solution

The fourth proportional to 111,889, 167,696.70 and 52,645.96 is: 78,904.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,889 : 167,696.70 = 52,645.96 : x
  2. Step 2: Convert to fraction form
    111,889/167,696.70 = 52,645.96/x
  3. Step 3: Cross multiply
    111,889x = 167,696.70 × 52,645.96
  4. Step 4: Simplify right side
    111,889x = 8,828,553,760.33
  5. Step 5: Solve for x
    x = 8,828,553,760.33/111,889
  6. Step 6: Final answer
    x = 78,904.57

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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.