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Finding the Fourth Proportional to 201,452.47, 278,049.36 and 157,758.34

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Solution

The fourth proportional to 201,452.47, 278,049.36 and 157,758.34 is: 217,741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,452.47 : 278,049.36 = 157,758.34 : x
  2. Step 2: Convert to fraction form
    201,452.47/278,049.36 = 157,758.34/x
  3. Step 3: Cross multiply
    201,452.47x = 278,049.36 × 157,758.34
  4. Step 4: Simplify right side
    201,452.47x = 43,864,605,471.66
  5. Step 5: Solve for x
    x = 43,864,605,471.66/201,452.47
  6. Step 6: Final answer
    x = 217,741.71

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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.