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Finding the Fourth Proportional to 144,186.50, 198,963.68 and 83,755.50

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Solution

The fourth proportional to 144,186.50, 198,963.68 and 83,755.50 is: 115,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,186.50 : 198,963.68 = 83,755.50 : x
  2. Step 2: Convert to fraction form
    144,186.50/198,963.68 = 83,755.50/x
  3. Step 3: Cross multiply
    144,186.50x = 198,963.68 × 83,755.50
  4. Step 4: Simplify right side
    144,186.50x = 16,664,302,500.24
  5. Step 5: Solve for x
    x = 16,664,302,500.24/144,186.50
  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.