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Finding the Fourth Proportional to 202,342.70, 279,231.34 and 111,698.64

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Solution

The fourth proportional to 202,342.70, 279,231.34 and 111,698.64 is: 154,143.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,342.70 : 279,231.34 = 111,698.64 : x
  2. Step 2: Convert to fraction form
    202,342.70/279,231.34 = 111,698.64/x
  3. Step 3: Cross multiply
    202,342.70x = 279,231.34 × 111,698.64
  4. Step 4: Simplify right side
    202,342.70x = 31,189,760,923.38
  5. Step 5: Solve for x
    x = 31,189,760,923.38/202,342.70
  6. Step 6: Final answer
    x = 154,143.25

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1.5x scale

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.