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Finding the Fourth Proportional to 51,991.25, 77,978.30 and 18,705.11

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Solution

The fourth proportional to 51,991.25, 77,978.30 and 18,705.11 is: 28,054.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,991.25 : 77,978.30 = 18,705.11 : x
  2. Step 2: Convert to fraction form
    51,991.25/77,978.30 = 18,705.11/x
  3. Step 3: Cross multiply
    51,991.25x = 77,978.30 × 18,705.11
  4. Step 4: Simplify right side
    51,991.25x = 1,458,592,195.70
  5. Step 5: Solve for x
    x = 1,458,592,195.70/51,991.25
  6. Step 6: Final answer
    x = 28,054.57

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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.