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Finding the Fourth Proportional to 257,542.42, 386,419.92 and 139,074.26

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Solution

The fourth proportional to 257,542.42, 386,419.92 and 139,074.26 is: 208,668.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,542.42 : 386,419.92 = 139,074.26 : x
  2. Step 2: Convert to fraction form
    257,542.42/386,419.92 = 139,074.26/x
  3. Step 3: Cross multiply
    257,542.42x = 386,419.92 × 139,074.26
  4. Step 4: Simplify right side
    257,542.42x = 53,741,064,423.26
  5. Step 5: Solve for x
    x = 53,741,064,423.26/257,542.42
  6. Step 6: Final answer
    x = 208,668.79

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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.