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Finding the Fourth Proportional to 143,859.27, 198,526.64 and 83,465.87

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Solution

The fourth proportional to 143,859.27, 198,526.64 and 83,465.87 is: 115,183.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,859.27 : 198,526.64 = 83,465.87 : x
  2. Step 2: Convert to fraction form
    143,859.27/198,526.64 = 83,465.87/x
  3. Step 3: Cross multiply
    143,859.27x = 198,526.64 × 83,465.87
  4. Step 4: Simplify right side
    143,859.27x = 16,570,198,902.02
  5. Step 5: Solve for x
    x = 16,570,198,902.02/143,859.27
  6. Step 6: Final answer
    x = 115,183.39

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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.