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Finding the Fourth Proportional to 144,906.50, 199,933.12 and 83,637.70

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Solution

The fourth proportional to 144,906.50, 199,933.12 and 83,637.70 is: 115,398.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,906.50 : 199,933.12 = 83,637.70 : x
  2. Step 2: Convert to fraction form
    144,906.50/199,933.12 = 83,637.70/x
  3. Step 3: Cross multiply
    144,906.50x = 199,933.12 × 83,637.70
  4. Step 4: Simplify right side
    144,906.50x = 16,721,946,310.62
  5. Step 5: Solve for x
    x = 16,721,946,310.62/144,906.50
  6. Step 6: Final answer
    x = 115,398.18

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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.