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Finding the Fourth Proportional to 78,190.68, 107,734.14 and 52,996.44

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Solution

The fourth proportional to 78,190.68, 107,734.14 and 52,996.44 is: 73,020.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,190.68 : 107,734.14 = 52,996.44 : x
  2. Step 2: Convert to fraction form
    78,190.68/107,734.14 = 52,996.44/x
  3. Step 3: Cross multiply
    78,190.68x = 107,734.14 × 52,996.44
  4. Step 4: Simplify right side
    78,190.68x = 5,709,525,886.46
  5. Step 5: Solve for x
    x = 5,709,525,886.46/78,190.68
  6. Step 6: Final answer
    x = 73,020.54

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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.