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Finding the Fourth Proportional to 98,112.75, 147,222.29 and 75,969.38

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Solution

The fourth proportional to 98,112.75, 147,222.29 and 75,969.38 is: 113,995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,112.75 : 147,222.29 = 75,969.38 : x
  2. Step 2: Convert to fraction form
    98,112.75/147,222.29 = 75,969.38/x
  3. Step 3: Cross multiply
    98,112.75x = 147,222.29 × 75,969.38
  4. Step 4: Simplify right side
    98,112.75x = 11,184,384,977.52
  5. Step 5: Solve for x
    x = 11,184,384,977.52/98,112.75
  6. Step 6: Final answer
    x = 113,995.22

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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.