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Finding the Fourth Proportional to 143,438, 197,944.44 and 83,822

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Solution

The fourth proportional to 143,438, 197,944.44 and 83,822 is: 115,674.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,438 : 197,944.44 = 83,822 : x
  2. Step 2: Convert to fraction form
    143,438/197,944.44 = 83,822/x
  3. Step 3: Cross multiply
    143,438x = 197,944.44 × 83,822
  4. Step 4: Simplify right side
    143,438x = 16,592,098,849.68
  5. Step 5: Solve for x
    x = 16,592,098,849.68/143,438
  6. Step 6: Final answer
    x = 115,674.36

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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.