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Finding the Fourth Proportional to 144,015.82, 198,710 and 83,551.43

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Solution

The fourth proportional to 144,015.82, 198,710 and 83,551.43 is: 115,282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,015.82 : 198,710 = 83,551.43 : x
  2. Step 2: Convert to fraction form
    144,015.82/198,710 = 83,551.43/x
  3. Step 3: Cross multiply
    144,015.82x = 198,710 × 83,551.43
  4. Step 4: Simplify right side
    144,015.82x = 16,602,504,655.30
  5. Step 5: Solve for x
    x = 16,602,504,655.30/144,015.82
  6. Step 6: Final answer
    x = 115,282.51

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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.