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Finding the Fourth Proportional to 213,805.38, 321,123.26 and 157,422.81

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Solution

The fourth proportional to 213,805.38, 321,123.26 and 157,422.81 is: 236,439.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,805.38 : 321,123.26 = 157,422.81 : x
  2. Step 2: Convert to fraction form
    213,805.38/321,123.26 = 157,422.81/x
  3. Step 3: Cross multiply
    213,805.38x = 321,123.26 × 157,422.81
  4. Step 4: Simplify right side
    213,805.38x = 50,552,125,945.56
  5. Step 5: Solve for x
    x = 50,552,125,945.56/213,805.38
  6. Step 6: Final answer
    x = 236,439.92

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1.5x scale

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.