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Finding the Fourth Proportional to 257,825.35, 355,791.72 and 141,538.78

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Solution

The fourth proportional to 257,825.35, 355,791.72 and 141,538.78 is: 195,319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,825.35 : 355,791.72 = 141,538.78 : x
  2. Step 2: Convert to fraction form
    257,825.35/355,791.72 = 141,538.78/x
  3. Step 3: Cross multiply
    257,825.35x = 355,791.72 × 141,538.78
  4. Step 4: Simplify right side
    257,825.35x = 50,358,325,982.90
  5. Step 5: Solve for x
    x = 50,358,325,982.90/257,825.35
  6. Step 6: Final answer
    x = 195,319.53

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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.