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Finding the Fourth Proportional to 143,666.68, 198,247.32 and 83,218

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Solution

The fourth proportional to 143,666.68, 198,247.32 and 83,218 is: 114,833.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,666.68 : 198,247.32 = 83,218 : x
  2. Step 2: Convert to fraction form
    143,666.68/198,247.32 = 83,218/x
  3. Step 3: Cross multiply
    143,666.68x = 198,247.32 × 83,218
  4. Step 4: Simplify right side
    143,666.68x = 16,497,745,475.76
  5. Step 5: Solve for x
    x = 16,497,745,475.76/143,666.68
  6. Step 6: Final answer
    x = 114,833.48

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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.