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Finding the Fourth Proportional to 144,186.49, 198,963.69 and 83,755.49

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Solution

The fourth proportional to 144,186.49, 198,963.69 and 83,755.49 is: 115,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,186.49 : 198,963.69 = 83,755.49 : x
  2. Step 2: Convert to fraction form
    144,186.49/198,963.69 = 83,755.49/x
  3. Step 3: Cross multiply
    144,186.49x = 198,963.69 × 83,755.49
  4. Step 4: Simplify right side
    144,186.49x = 16,664,301,348.16
  5. Step 5: Solve for x
    x = 16,664,301,348.16/144,186.49
  6. Step 6: Final answer
    x = 115,574.64

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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.