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Finding the Fourth Proportional to 144,132.44, 198,802.74 and 98,814.48

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Solution

The fourth proportional to 144,132.44, 198,802.74 and 98,814.48 is: 136,295.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,132.44 : 198,802.74 = 98,814.48 : x
  2. Step 2: Convert to fraction form
    144,132.44/198,802.74 = 98,814.48/x
  3. Step 3: Cross multiply
    144,132.44x = 198,802.74 × 98,814.48
  4. Step 4: Simplify right side
    144,132.44x = 19,644,589,375.68
  5. Step 5: Solve for x
    x = 19,644,589,375.68/144,132.44
  6. Step 6: Final answer
    x = 136,295.41

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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.