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Finding the Fourth Proportional to 98,102.81, 147,207.38 and 75,959.44

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Solution

The fourth proportional to 98,102.81, 147,207.38 and 75,959.44 is: 113,980.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,102.81 : 147,207.38 = 75,959.44 : x
  2. Step 2: Convert to fraction form
    98,102.81/147,207.38 = 75,959.44/x
  3. Step 3: Cross multiply
    98,102.81x = 147,207.38 × 75,959.44
  4. Step 4: Simplify right side
    98,102.81x = 11,181,789,400.85
  5. Step 5: Solve for x
    x = 11,181,789,400.85/98,102.81
  6. Step 6: Final answer
    x = 113,980.31

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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.