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Finding the Fourth Proportional to 190,538.97, 285,559.30 and 78,087.54

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Solution

The fourth proportional to 190,538.97, 285,559.30 and 78,087.54 is: 117,029.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,538.97 : 285,559.30 = 78,087.54 : x
  2. Step 2: Convert to fraction form
    190,538.97/285,559.30 = 78,087.54/x
  3. Step 3: Cross multiply
    190,538.97x = 285,559.30 × 78,087.54
  4. Step 4: Simplify right side
    190,538.97x = 22,298,621,800.55
  5. Step 5: Solve for x
    x = 22,298,621,800.55/190,538.97
  6. Step 6: Final answer
    x = 117,029.19

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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.