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Finding the Fourth Proportional to 257,139.80, 354,874.88 and 149,743.52

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Solution

The fourth proportional to 257,139.80, 354,874.88 and 149,743.52 is: 206,658.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,139.80 : 354,874.88 = 149,743.52 : x
  2. Step 2: Convert to fraction form
    257,139.80/354,874.88 = 149,743.52/x
  3. Step 3: Cross multiply
    257,139.80x = 354,874.88 × 149,743.52
  4. Step 4: Simplify right side
    257,139.80x = 53,140,213,690.78
  5. Step 5: Solve for x
    x = 53,140,213,690.78/257,139.80
  6. Step 6: Final answer
    x = 206,658.84

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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.