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Finding the Fourth Proportional to 144,687.47, 199,670.97 and 83,399.83

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Solution

The fourth proportional to 144,687.47, 199,670.97 and 83,399.83 is: 115,093.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,687.47 : 199,670.97 = 83,399.83 : x
  2. Step 2: Convert to fraction form
    144,687.47/199,670.97 = 83,399.83/x
  3. Step 3: Cross multiply
    144,687.47x = 199,670.97 × 83,399.83
  4. Step 4: Simplify right side
    144,687.47x = 16,652,524,767.51
  5. Step 5: Solve for x
    x = 16,652,524,767.51/144,687.47
  6. Step 6: Final answer
    x = 115,093.07

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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.