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Finding the Fourth Proportional to 135,556.26, 187,084.26 and 78,971.28

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Solution

The fourth proportional to 135,556.26, 187,084.26 and 78,971.28 is: 108,990.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,556.26 : 187,084.26 = 78,971.28 : x
  2. Step 2: Convert to fraction form
    135,556.26/187,084.26 = 78,971.28/x
  3. Step 3: Cross multiply
    135,556.26x = 187,084.26 × 78,971.28
  4. Step 4: Simplify right side
    135,556.26x = 14,774,283,480.05
  5. Step 5: Solve for x
    x = 14,774,283,480.05/135,556.26
  6. Step 6: Final answer
    x = 108,990.05

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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.