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Finding the Fourth Proportional to 98,128.20, 147,192.30 and 50,743.20

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Solution

The fourth proportional to 98,128.20, 147,192.30 and 50,743.20 is: 76,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,128.20 : 147,192.30 = 50,743.20 : x
  2. Step 2: Convert to fraction form
    98,128.20/147,192.30 = 50,743.20/x
  3. Step 3: Cross multiply
    98,128.20x = 147,192.30 × 50,743.20
  4. Step 4: Simplify right side
    98,128.20x = 7,469,008,317.36
  5. Step 5: Solve for x
    x = 7,469,008,317.36/98,128.20
  6. Step 6: Final answer
    x = 76,114.80

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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.