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Finding the Fourth Proportional to 257,912.24, 386,878.82 and 65,791.71

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Solution

The fourth proportional to 257,912.24, 386,878.82 and 65,791.71 is: 98,690.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,912.24 : 386,878.82 = 65,791.71 : x
  2. Step 2: Convert to fraction form
    257,912.24/386,878.82 = 65,791.71/x
  3. Step 3: Cross multiply
    257,912.24x = 386,878.82 × 65,791.71
  4. Step 4: Simplify right side
    257,912.24x = 25,453,418,801.62
  5. Step 5: Solve for x
    x = 25,453,418,801.62/257,912.24
  6. Step 6: Final answer
    x = 98,690.23

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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.