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Finding the Fourth Proportional to 171,385.13, 257,176.06 and 133,839.80

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Solution

The fourth proportional to 171,385.13, 257,176.06 and 133,839.80 is: 200,836.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,385.13 : 257,176.06 = 133,839.80 : x
  2. Step 2: Convert to fraction form
    171,385.13/257,176.06 = 133,839.80/x
  3. Step 3: Cross multiply
    171,385.13x = 257,176.06 × 133,839.80
  4. Step 4: Simplify right side
    171,385.13x = 34,420,390,814.71
  5. Step 5: Solve for x
    x = 34,420,390,814.71/171,385.13
  6. Step 6: Final answer
    x = 200,836.51

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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.