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Finding the Fourth Proportional to 45,930, 68,895 and 14,765.25

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Solution

The fourth proportional to 45,930, 68,895 and 14,765.25 is: 22,147.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,930 : 68,895 = 14,765.25 : x
  2. Step 2: Convert to fraction form
    45,930/68,895 = 14,765.25/x
  3. Step 3: Cross multiply
    45,930x = 68,895 × 14,765.25
  4. Step 4: Simplify right side
    45,930x = 1,017,251,898.75
  5. Step 5: Solve for x
    x = 1,017,251,898.75/45,930
  6. Step 6: Final answer
    x = 22,147.88

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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.