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Finding the Fourth Proportional to 45,154.62, 67,755.16 and 21,489

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Solution

The fourth proportional to 45,154.62, 67,755.16 and 21,489 is: 32,244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,154.62 : 67,755.16 = 21,489 : x
  2. Step 2: Convert to fraction form
    45,154.62/67,755.16 = 21,489/x
  3. Step 3: Cross multiply
    45,154.62x = 67,755.16 × 21,489
  4. Step 4: Simplify right side
    45,154.62x = 1,455,990,633.24
  5. Step 5: Solve for x
    x = 1,455,990,633.24/45,154.62
  6. Step 6: Final answer
    x = 32,244.56

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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.