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Finding the Fourth Proportional to 143,698.38, 215,738.32 and 122,772.84

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Solution

The fourth proportional to 143,698.38, 215,738.32 and 122,772.84 is: 184,322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,698.38 : 215,738.32 = 122,772.84 : x
  2. Step 2: Convert to fraction form
    143,698.38/215,738.32 = 122,772.84/x
  3. Step 3: Cross multiply
    143,698.38x = 215,738.32 × 122,772.84
  4. Step 4: Simplify right side
    143,698.38x = 26,486,806,243.23
  5. Step 5: Solve for x
    x = 26,486,806,243.23/143,698.38
  6. Step 6: Final answer
    x = 184,322.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.