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Finding the Fourth Proportional to 253,123.52, 349,209.96 and 145,635.68

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Solution

The fourth proportional to 253,123.52, 349,209.96 and 145,635.68 is: 200,919.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,123.52 : 349,209.96 = 145,635.68 : x
  2. Step 2: Convert to fraction form
    253,123.52/349,209.96 = 145,635.68/x
  3. Step 3: Cross multiply
    253,123.52x = 349,209.96 × 145,635.68
  4. Step 4: Simplify right side
    253,123.52x = 50,857,429,987.37
  5. Step 5: Solve for x
    x = 50,857,429,987.37/253,123.52
  6. Step 6: Final answer
    x = 200,919.42

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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.