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Finding the Fourth Proportional to 143,785.35, 198,424.57 and 83,391.81

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Solution

The fourth proportional to 143,785.35, 198,424.57 and 83,391.81 is: 115,081.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,785.35 : 198,424.57 = 83,391.81 : x
  2. Step 2: Convert to fraction form
    143,785.35/198,424.57 = 83,391.81/x
  3. Step 3: Cross multiply
    143,785.35x = 198,424.57 × 83,391.81
  4. Step 4: Simplify right side
    143,785.35x = 16,546,984,040.77
  5. Step 5: Solve for x
    x = 16,546,984,040.77/143,785.35
  6. Step 6: Final answer
    x = 115,081.15

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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.