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Finding the Fourth Proportional to 257,072.88, 385,768.98 and 123,966.84

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Solution

The fourth proportional to 257,072.88, 385,768.98 and 123,966.84 is: 186,027.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,072.88 : 385,768.98 = 123,966.84 : x
  2. Step 2: Convert to fraction form
    257,072.88/385,768.98 = 123,966.84/x
  3. Step 3: Cross multiply
    257,072.88x = 385,768.98 × 123,966.84
  4. Step 4: Simplify right side
    257,072.88x = 47,822,561,420.62
  5. Step 5: Solve for x
    x = 47,822,561,420.62/257,072.88
  6. Step 6: Final answer
    x = 186,027.25

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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.